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Finding the Fourth Proportional to 224.02, 309.16 and 168.66

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Solution

The fourth proportional to 224.02, 309.16 and 168.66 is: 232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 309.16 = 168.66 : x
  2. Step 2: Convert to fraction form
    224.02/309.16 = 168.66/x
  3. Step 3: Cross multiply
    224.02x = 309.16 × 168.66
  4. Step 4: Simplify right side
    224.02x = 52,140.54
  5. Step 5: Solve for x
    x = 52,140.54/224.02
  6. Step 6: Final answer
    x = 232.75

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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.