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Finding the Fourth Proportional to 311.54, 429.95 and 180.55

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Solution

The fourth proportional to 311.54, 429.95 and 180.55 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.54 : 429.95 = 180.55 : x
  2. Step 2: Convert to fraction form
    311.54/429.95 = 180.55/x
  3. Step 3: Cross multiply
    311.54x = 429.95 × 180.55
  4. Step 4: Simplify right side
    311.54x = 77,627.47
  5. Step 5: Solve for x
    x = 77,627.47/311.54
  6. Step 6: Final answer
    x = 249.17

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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.