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Finding the Fourth Proportional to 274.29, 378.47 and 163.76

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Solution

The fourth proportional to 274.29, 378.47 and 163.76 is: 225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.29 : 378.47 = 163.76 : x
  2. Step 2: Convert to fraction form
    274.29/378.47 = 163.76/x
  3. Step 3: Cross multiply
    274.29x = 378.47 × 163.76
  4. Step 4: Simplify right side
    274.29x = 61,978.18
  5. Step 5: Solve for x
    x = 61,978.18/274.29
  6. Step 6: Final answer
    x = 225.96

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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.