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Finding the Fourth Proportional to 274.28, 378.42 and 176.06

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Solution

The fourth proportional to 274.28, 378.42 and 176.06 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.28 : 378.42 = 176.06 : x
  2. Step 2: Convert to fraction form
    274.28/378.42 = 176.06/x
  3. Step 3: Cross multiply
    274.28x = 378.42 × 176.06
  4. Step 4: Simplify right side
    274.28x = 66,622.73
  5. Step 5: Solve for x
    x = 66,622.73/274.28
  6. Step 6: Final answer
    x = 242.90

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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.