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Finding the Fourth Proportional to 308.90, 463.31 and 116.50

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Solution

The fourth proportional to 308.90, 463.31 and 116.50 is: 174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.90 : 463.31 = 116.50 : x
  2. Step 2: Convert to fraction form
    308.90/463.31 = 116.50/x
  3. Step 3: Cross multiply
    308.90x = 463.31 × 116.50
  4. Step 4: Simplify right side
    308.90x = 53,975.62
  5. Step 5: Solve for x
    x = 53,975.62/308.90
  6. Step 6: Final answer
    x = 174.73

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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.