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Finding the Fourth Proportional to 613.03, 919.68 and 180.22

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Solution

The fourth proportional to 613.03, 919.68 and 180.22 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.03 : 919.68 = 180.22 : x
  2. Step 2: Convert to fraction form
    613.03/919.68 = 180.22/x
  3. Step 3: Cross multiply
    613.03x = 919.68 × 180.22
  4. Step 4: Simplify right side
    613.03x = 165,740.13
  5. Step 5: Solve for x
    x = 165,740.13/613.03
  6. Step 6: Final answer
    x = 270.36

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Double scale
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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.