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Finding the Fourth Proportional to 221.84, 332.58 and 91.93

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Solution

The fourth proportional to 221.84, 332.58 and 91.93 is: 137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 332.58 = 91.93 : x
  2. Step 2: Convert to fraction form
    221.84/332.58 = 91.93/x
  3. Step 3: Cross multiply
    221.84x = 332.58 × 91.93
  4. Step 4: Simplify right side
    221.84x = 30,573.62
  5. Step 5: Solve for x
    x = 30,573.62/221.84
  6. Step 6: Final answer
    x = 137.82

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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.