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Finding the Fourth Proportional to 274.17, 411.28 and 165.23

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Solution

The fourth proportional to 274.17, 411.28 and 165.23 is: 247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 411.28 = 165.23 : x
  2. Step 2: Convert to fraction form
    274.17/411.28 = 165.23/x
  3. Step 3: Cross multiply
    274.17x = 411.28 × 165.23
  4. Step 4: Simplify right side
    274.17x = 67,953.32
  5. Step 5: Solve for x
    x = 67,953.32/274.17
  6. Step 6: Final answer
    x = 247.85

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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.