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Finding the Fourth Proportional to 221.61, 305.72 and 128.33

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Solution

The fourth proportional to 221.61, 305.72 and 128.33 is: 177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.61 : 305.72 = 128.33 : x
  2. Step 2: Convert to fraction form
    221.61/305.72 = 128.33/x
  3. Step 3: Cross multiply
    221.61x = 305.72 × 128.33
  4. Step 4: Simplify right side
    221.61x = 39,233.17
  5. Step 5: Solve for x
    x = 39,233.17/221.61
  6. Step 6: Final answer
    x = 177.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.