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Finding the Fourth Proportional to 224.24, 309.22 and 169.16

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Solution

The fourth proportional to 224.24, 309.22 and 169.16 is: 233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 309.22 = 169.16 : x
  2. Step 2: Convert to fraction form
    224.24/309.22 = 169.16/x
  3. Step 3: Cross multiply
    224.24x = 309.22 × 169.16
  4. Step 4: Simplify right side
    224.24x = 52,305.69
  5. Step 5: Solve for x
    x = 52,305.69/224.24
  6. Step 6: Final answer
    x = 233.26

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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.