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Finding the Fourth Proportional to 308.95, 463.15 and 116.71

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Solution

The fourth proportional to 308.95, 463.15 and 116.71 is: 174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.95 : 463.15 = 116.71 : x
  2. Step 2: Convert to fraction form
    308.95/463.15 = 116.71/x
  3. Step 3: Cross multiply
    308.95x = 463.15 × 116.71
  4. Step 4: Simplify right side
    308.95x = 54,053.22
  5. Step 5: Solve for x
    x = 54,053.22/308.95
  6. Step 6: Final answer
    x = 174.96

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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.