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Finding the Fourth Proportional to 224.18, 309.37 and 125.93

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Solution

The fourth proportional to 224.18, 309.37 and 125.93 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.18 : 309.37 = 125.93 : x
  2. Step 2: Convert to fraction form
    224.18/309.37 = 125.93/x
  3. Step 3: Cross multiply
    224.18x = 309.37 × 125.93
  4. Step 4: Simplify right side
    224.18x = 38,958.79
  5. Step 5: Solve for x
    x = 38,958.79/224.18
  6. Step 6: Final answer
    x = 173.78

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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.