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Finding the Fourth Proportional to 311.62, 429.57 and 224.14

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Solution

The fourth proportional to 311.62, 429.57 and 224.14 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.62 : 429.57 = 224.14 : x
  2. Step 2: Convert to fraction form
    311.62/429.57 = 224.14/x
  3. Step 3: Cross multiply
    311.62x = 429.57 × 224.14
  4. Step 4: Simplify right side
    311.62x = 96,283.82
  5. Step 5: Solve for x
    x = 96,283.82/311.62
  6. Step 6: Final answer
    x = 308.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.