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Finding the Fourth Proportional to 308.33, 462.57 and 91.91

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Solution

The fourth proportional to 308.33, 462.57 and 91.91 is: 137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.33 : 462.57 = 91.91 : x
  2. Step 2: Convert to fraction form
    308.33/462.57 = 91.91/x
  3. Step 3: Cross multiply
    308.33x = 462.57 × 91.91
  4. Step 4: Simplify right side
    308.33x = 42,514.81
  5. Step 5: Solve for x
    x = 42,514.81/308.33
  6. Step 6: Final answer
    x = 137.89

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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.