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Finding the Fourth Proportional to 311.16, 429.39 and 180.14

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Solution

The fourth proportional to 311.16, 429.39 and 180.14 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.16 : 429.39 = 180.14 : x
  2. Step 2: Convert to fraction form
    311.16/429.39 = 180.14/x
  3. Step 3: Cross multiply
    311.16x = 429.39 × 180.14
  4. Step 4: Simplify right side
    311.16x = 77,350.31
  5. Step 5: Solve for x
    x = 77,350.31/311.16
  6. Step 6: Final answer
    x = 248.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.