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Finding the Fourth Proportional to 224.92, 309.65 and 169.56

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Solution

The fourth proportional to 224.92, 309.65 and 169.56 is: 233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 309.65 = 169.56 : x
  2. Step 2: Convert to fraction form
    224.92/309.65 = 169.56/x
  3. Step 3: Cross multiply
    224.92x = 309.65 × 169.56
  4. Step 4: Simplify right side
    224.92x = 52,504.25
  5. Step 5: Solve for x
    x = 52,504.25/224.92
  6. Step 6: Final answer
    x = 233.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.