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Finding the Fourth Proportional to 308.64, 462.55 and 171.61

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Solution

The fourth proportional to 308.64, 462.55 and 171.61 is: 257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.64 : 462.55 = 171.61 : x
  2. Step 2: Convert to fraction form
    308.64/462.55 = 171.61/x
  3. Step 3: Cross multiply
    308.64x = 462.55 × 171.61
  4. Step 4: Simplify right side
    308.64x = 79,378.21
  5. Step 5: Solve for x
    x = 79,378.21/308.64
  6. Step 6: Final answer
    x = 257.19

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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.