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Finding the Fourth Proportional to 308.73, 463.35 and 135.54

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Solution

The fourth proportional to 308.73, 463.35 and 135.54 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.73 : 463.35 = 135.54 : x
  2. Step 2: Convert to fraction form
    308.73/463.35 = 135.54/x
  3. Step 3: Cross multiply
    308.73x = 463.35 × 135.54
  4. Step 4: Simplify right side
    308.73x = 62,802.97
  5. Step 5: Solve for x
    x = 62,802.97/308.73
  6. Step 6: Final answer
    x = 203.42

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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.