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Finding the Fourth Proportional to 317.90, 476.40 and 180.74

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Solution

The fourth proportional to 317.90, 476.40 and 180.74 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.90 : 476.40 = 180.74 : x
  2. Step 2: Convert to fraction form
    317.90/476.40 = 180.74/x
  3. Step 3: Cross multiply
    317.90x = 476.40 × 180.74
  4. Step 4: Simplify right side
    317.90x = 86,104.54
  5. Step 5: Solve for x
    x = 86,104.54/317.90
  6. Step 6: Final answer
    x = 270.85

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