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Finding the Fourth Proportional to 221.30, 305.42 and 132.83

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Solution

The fourth proportional to 221.30, 305.42 and 132.83 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.30 : 305.42 = 132.83 : x
  2. Step 2: Convert to fraction form
    221.30/305.42 = 132.83/x
  3. Step 3: Cross multiply
    221.30x = 305.42 × 132.83
  4. Step 4: Simplify right side
    221.30x = 40,566.75
  5. Step 5: Solve for x
    x = 40,566.75/221.30
  6. Step 6: Final answer
    x = 183.32

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Why These Related Problems?

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