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Finding the Fourth Proportional to 308.71, 463.02 and 116.34

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Solution

The fourth proportional to 308.71, 463.02 and 116.34 is: 174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.71 : 463.02 = 116.34 : x
  2. Step 2: Convert to fraction form
    308.71/463.02 = 116.34/x
  3. Step 3: Cross multiply
    308.71x = 463.02 × 116.34
  4. Step 4: Simplify right side
    308.71x = 53,867.75
  5. Step 5: Solve for x
    x = 53,867.75/308.71
  6. Step 6: Final answer
    x = 174.49

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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.