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Finding the Fourth Proportional to 221.68, 332.27 and 99.71

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Solution

The fourth proportional to 221.68, 332.27 and 99.71 is: 149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.68 : 332.27 = 99.71 : x
  2. Step 2: Convert to fraction form
    221.68/332.27 = 99.71/x
  3. Step 3: Cross multiply
    221.68x = 332.27 × 99.71
  4. Step 4: Simplify right side
    221.68x = 33,130.64
  5. Step 5: Solve for x
    x = 33,130.64/221.68
  6. Step 6: Final answer
    x = 149.45

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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.