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Finding the Fourth Proportional to 274.47, 378 and 237.61

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Solution

The fourth proportional to 274.47, 378 and 237.61 is: 327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.47 : 378 = 237.61 : x
  2. Step 2: Convert to fraction form
    274.47/378 = 237.61/x
  3. Step 3: Cross multiply
    274.47x = 378 × 237.61
  4. Step 4: Simplify right side
    274.47x = 89,816.58
  5. Step 5: Solve for x
    x = 89,816.58/274.47
  6. Step 6: Final answer
    x = 327.24

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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.