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Finding the Fourth Proportional to 308.61, 463.05 and 178.74

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Solution

The fourth proportional to 308.61, 463.05 and 178.74 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.61 : 463.05 = 178.74 : x
  2. Step 2: Convert to fraction form
    308.61/463.05 = 178.74/x
  3. Step 3: Cross multiply
    308.61x = 463.05 × 178.74
  4. Step 4: Simplify right side
    308.61x = 82,765.56
  5. Step 5: Solve for x
    x = 82,765.56/308.61
  6. Step 6: Final answer
    x = 268.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.