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Finding the Fourth Proportional to 306.62, 458.97 and 167.45

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Solution

The fourth proportional to 306.62, 458.97 and 167.45 is: 250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.62 : 458.97 = 167.45 : x
  2. Step 2: Convert to fraction form
    306.62/458.97 = 167.45/x
  3. Step 3: Cross multiply
    306.62x = 458.97 × 167.45
  4. Step 4: Simplify right side
    306.62x = 76,854.53
  5. Step 5: Solve for x
    x = 76,854.53/306.62
  6. Step 6: Final answer
    x = 250.65

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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.