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Finding the Fourth Proportional to 311.53, 429.89 and 180.53

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Solution

The fourth proportional to 311.53, 429.89 and 180.53 is: 249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.53 : 429.89 = 180.53 : x
  2. Step 2: Convert to fraction form
    311.53/429.89 = 180.53/x
  3. Step 3: Cross multiply
    311.53x = 429.89 × 180.53
  4. Step 4: Simplify right side
    311.53x = 77,608.21
  5. Step 5: Solve for x
    x = 77,608.21/311.53
  6. Step 6: Final answer
    x = 249.12

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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.