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Finding the Fourth Proportional to 274.32, 410.64 and 165.76

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Solution

The fourth proportional to 274.32, 410.64 and 165.76 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 410.64 = 165.76 : x
  2. Step 2: Convert to fraction form
    274.32/410.64 = 165.76/x
  3. Step 3: Cross multiply
    274.32x = 410.64 × 165.76
  4. Step 4: Simplify right side
    274.32x = 68,067.69
  5. Step 5: Solve for x
    x = 68,067.69/274.32
  6. Step 6: Final answer
    x = 248.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.