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Finding the Fourth Proportional to 613.01, 919.56 and 180.19

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Solution

The fourth proportional to 613.01, 919.56 and 180.19 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.01 : 919.56 = 180.19 : x
  2. Step 2: Convert to fraction form
    613.01/919.56 = 180.19/x
  3. Step 3: Cross multiply
    613.01x = 919.56 × 180.19
  4. Step 4: Simplify right side
    613.01x = 165,690.92
  5. Step 5: Solve for x
    x = 165,690.92/613.01
  6. Step 6: Final answer
    x = 270.29

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.