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Finding the Fourth Proportional to 308.74, 425.98 and 175.97

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Solution

The fourth proportional to 308.74, 425.98 and 175.97 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.74 : 425.98 = 175.97 : x
  2. Step 2: Convert to fraction form
    308.74/425.98 = 175.97/x
  3. Step 3: Cross multiply
    308.74x = 425.98 × 175.97
  4. Step 4: Simplify right side
    308.74x = 74,957.57
  5. Step 5: Solve for x
    x = 74,957.57/308.74
  6. Step 6: Final answer
    x = 242.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.