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Finding the Fourth Proportional to 317.68, 476.07 and 180.52

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Solution

The fourth proportional to 317.68, 476.07 and 180.52 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 476.07 = 180.52 : x
  2. Step 2: Convert to fraction form
    317.68/476.07 = 180.52/x
  3. Step 3: Cross multiply
    317.68x = 476.07 × 180.52
  4. Step 4: Simplify right side
    317.68x = 85,940.16
  5. Step 5: Solve for x
    x = 85,940.16/317.68
  6. Step 6: Final answer
    x = 270.52

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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.