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Finding the Fourth Proportional to 223.90, 309.02 and 125.69

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Solution

The fourth proportional to 223.90, 309.02 and 125.69 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.90 : 309.02 = 125.69 : x
  2. Step 2: Convert to fraction form
    223.90/309.02 = 125.69/x
  3. Step 3: Cross multiply
    223.90x = 309.02 × 125.69
  4. Step 4: Simplify right side
    223.90x = 38,838.55
  5. Step 5: Solve for x
    x = 38,838.55/223.90
  6. Step 6: Final answer
    x = 173.47

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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.