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Finding the Fourth Proportional to 308.01, 462.02 and 115.53

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Solution

The fourth proportional to 308.01, 462.02 and 115.53 is: 173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.01 : 462.02 = 115.53 : x
  2. Step 2: Convert to fraction form
    308.01/462.02 = 115.53/x
  3. Step 3: Cross multiply
    308.01x = 462.02 × 115.53
  4. Step 4: Simplify right side
    308.01x = 53,376.59
  5. Step 5: Solve for x
    x = 53,376.59/308.01
  6. Step 6: Final answer
    x = 173.30

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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.