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Finding the Fourth Proportional to 224.81, 310.67 and 169.46

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Solution

The fourth proportional to 224.81, 310.67 and 169.46 is: 234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.81 : 310.67 = 169.46 : x
  2. Step 2: Convert to fraction form
    224.81/310.67 = 169.46/x
  3. Step 3: Cross multiply
    224.81x = 310.67 × 169.46
  4. Step 4: Simplify right side
    224.81x = 52,644.58
  5. Step 5: Solve for x
    x = 52,644.58/224.81
  6. Step 6: Final answer
    x = 234.17

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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.