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Finding the Fourth Proportional to 308.68, 462.10 and 186.58

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Solution

The fourth proportional to 308.68, 462.10 and 186.58 is: 279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.68 : 462.10 = 186.58 : x
  2. Step 2: Convert to fraction form
    308.68/462.10 = 186.58/x
  3. Step 3: Cross multiply
    308.68x = 462.10 × 186.58
  4. Step 4: Simplify right side
    308.68x = 86,218.62
  5. Step 5: Solve for x
    x = 86,218.62/308.68
  6. Step 6: Final answer
    x = 279.31

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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.