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Finding the Fourth Proportional to 311.32, 429.57 and 180.31

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Solution

The fourth proportional to 311.32, 429.57 and 180.31 is: 248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 429.57 = 180.31 : x
  2. Step 2: Convert to fraction form
    311.32/429.57 = 180.31/x
  3. Step 3: Cross multiply
    311.32x = 429.57 × 180.31
  4. Step 4: Simplify right side
    311.32x = 77,455.77
  5. Step 5: Solve for x
    x = 77,455.77/311.32
  6. Step 6: Final answer
    x = 248.80

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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.