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Finding the Fourth Proportional to 221.61, 332.15 and 84.57

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Solution

The fourth proportional to 221.61, 332.15 and 84.57 is: 126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.61 : 332.15 = 84.57 : x
  2. Step 2: Convert to fraction form
    221.61/332.15 = 84.57/x
  3. Step 3: Cross multiply
    221.61x = 332.15 × 84.57
  4. Step 4: Simplify right side
    221.61x = 28,089.93
  5. Step 5: Solve for x
    x = 28,089.93/221.61
  6. Step 6: Final answer
    x = 126.75

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