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Finding the Fourth Proportional to 311.29, 429.55 and 180.28

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Solution

The fourth proportional to 311.29, 429.55 and 180.28 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 429.55 = 180.28 : x
  2. Step 2: Convert to fraction form
    311.29/429.55 = 180.28/x
  3. Step 3: Cross multiply
    311.29x = 429.55 × 180.28
  4. Step 4: Simplify right side
    311.29x = 77,439.36
  5. Step 5: Solve for x
    x = 77,439.36/311.29
  6. Step 6: Final answer
    x = 248.77

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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.