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Finding the Fourth Proportional to 317.71, 475.96 and 180.85

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Solution

The fourth proportional to 317.71, 475.96 and 180.85 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.71 : 475.96 = 180.85 : x
  2. Step 2: Convert to fraction form
    317.71/475.96 = 180.85/x
  3. Step 3: Cross multiply
    317.71x = 475.96 × 180.85
  4. Step 4: Simplify right side
    317.71x = 86,077.37
  5. Step 5: Solve for x
    x = 86,077.37/317.71
  6. Step 6: Final answer
    x = 270.93

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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.