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Finding the Fourth Proportional to 311.46, 429.74 and 180.44

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Solution

The fourth proportional to 311.46, 429.74 and 180.44 is: 248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.46 : 429.74 = 180.44 : x
  2. Step 2: Convert to fraction form
    311.46/429.74 = 180.44/x
  3. Step 3: Cross multiply
    311.46x = 429.74 × 180.44
  4. Step 4: Simplify right side
    311.46x = 77,541.52
  5. Step 5: Solve for x
    x = 77,541.52/311.46
  6. Step 6: Final answer
    x = 248.96

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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.