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Finding the Fourth Proportional to 274.38, 378.71 and 158.01

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Solution

The fourth proportional to 274.38, 378.71 and 158.01 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 378.71 = 158.01 : x
  2. Step 2: Convert to fraction form
    274.38/378.71 = 158.01/x
  3. Step 3: Cross multiply
    274.38x = 378.71 × 158.01
  4. Step 4: Simplify right side
    274.38x = 59,839.97
  5. Step 5: Solve for x
    x = 59,839.97/274.38
  6. Step 6: Final answer
    x = 218.09

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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.