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Finding the Fourth Proportional to 223.93, 335.92 and 77.71

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Solution

The fourth proportional to 223.93, 335.92 and 77.71 is: 116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.93 : 335.92 = 77.71 : x
  2. Step 2: Convert to fraction form
    223.93/335.92 = 77.71/x
  3. Step 3: Cross multiply
    223.93x = 335.92 × 77.71
  4. Step 4: Simplify right side
    223.93x = 26,103.95
  5. Step 5: Solve for x
    x = 26,103.95/223.93
  6. Step 6: Final answer
    x = 116.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.