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Finding the Fourth Proportional to 311.29, 466.82 and 126.14

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Solution

The fourth proportional to 311.29, 466.82 and 126.14 is: 189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.29 : 466.82 = 126.14 : x
  2. Step 2: Convert to fraction form
    311.29/466.82 = 126.14/x
  3. Step 3: Cross multiply
    311.29x = 466.82 × 126.14
  4. Step 4: Simplify right side
    311.29x = 58,885.52
  5. Step 5: Solve for x
    x = 58,885.52/311.29
  6. Step 6: Final answer
    x = 189.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.