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Finding the Fourth Proportional to 311.18, 429.34 and 180.17

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Solution

The fourth proportional to 311.18, 429.34 and 180.17 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.18 : 429.34 = 180.17 : x
  2. Step 2: Convert to fraction form
    311.18/429.34 = 180.17/x
  3. Step 3: Cross multiply
    311.18x = 429.34 × 180.17
  4. Step 4: Simplify right side
    311.18x = 77,352.08
  5. Step 5: Solve for x
    x = 77,352.08/311.18
  6. Step 6: Final answer
    x = 248.57

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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.