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Finding the Fourth Proportional to 274.24, 378.12 and 239.14

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Solution

The fourth proportional to 274.24, 378.12 and 239.14 is: 329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 378.12 = 239.14 : x
  2. Step 2: Convert to fraction form
    274.24/378.12 = 239.14/x
  3. Step 3: Cross multiply
    274.24x = 378.12 × 239.14
  4. Step 4: Simplify right side
    274.24x = 90,423.62
  5. Step 5: Solve for x
    x = 90,423.62/274.24
  6. Step 6: Final answer
    x = 329.72

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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.