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Finding the Fourth Proportional to 274.32, 378.48 and 163.72

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Solution

The fourth proportional to 274.32, 378.48 and 163.72 is: 225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 378.48 = 163.72 : x
  2. Step 2: Convert to fraction form
    274.32/378.48 = 163.72/x
  3. Step 3: Cross multiply
    274.32x = 378.48 × 163.72
  4. Step 4: Simplify right side
    274.32x = 61,962.03
  5. Step 5: Solve for x
    x = 61,962.03/274.32
  6. Step 6: Final answer
    x = 225.88

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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.