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Finding the Fourth Proportional to 221.64, 332.54 and 77.38

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Solution

The fourth proportional to 221.64, 332.54 and 77.38 is: 116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.64 : 332.54 = 77.38 : x
  2. Step 2: Convert to fraction form
    221.64/332.54 = 77.38/x
  3. Step 3: Cross multiply
    221.64x = 332.54 × 77.38
  4. Step 4: Simplify right side
    221.64x = 25,731.95
  5. Step 5: Solve for x
    x = 25,731.95/221.64
  6. Step 6: Final answer
    x = 116.10

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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.