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Finding the Fourth Proportional to 224.52, 309.85 and 169.16

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Solution

The fourth proportional to 224.52, 309.85 and 169.16 is: 233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.52 : 309.85 = 169.16 : x
  2. Step 2: Convert to fraction form
    224.52/309.85 = 169.16/x
  3. Step 3: Cross multiply
    224.52x = 309.85 × 169.16
  4. Step 4: Simplify right side
    224.52x = 52,411.83
  5. Step 5: Solve for x
    x = 52,411.83/224.52
  6. Step 6: Final answer
    x = 233.44

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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.