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Finding the Fourth Proportional to 221.78, 332.65 and 91.66

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Solution

The fourth proportional to 221.78, 332.65 and 91.66 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 332.65 = 91.66 : x
  2. Step 2: Convert to fraction form
    221.78/332.65 = 91.66/x
  3. Step 3: Cross multiply
    221.78x = 332.65 × 91.66
  4. Step 4: Simplify right side
    221.78x = 30,490.24
  5. Step 5: Solve for x
    x = 30,490.24/221.78
  6. Step 6: Final answer
    x = 137.48

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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.