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Finding the Fourth Proportional to 612.93, 919.53 and 180.08

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Solution

The fourth proportional to 612.93, 919.53 and 180.08 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.93 : 919.53 = 180.08 : x
  2. Step 2: Convert to fraction form
    612.93/919.53 = 180.08/x
  3. Step 3: Cross multiply
    612.93x = 919.53 × 180.08
  4. Step 4: Simplify right side
    612.93x = 165,584.36
  5. Step 5: Solve for x
    x = 165,584.36/612.93
  6. Step 6: Final answer
    x = 270.15

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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.