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Finding the Fourth Proportional to 221.62, 305.86 and 133.16

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Solution

The fourth proportional to 221.62, 305.86 and 133.16 is: 183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.62 : 305.86 = 133.16 : x
  2. Step 2: Convert to fraction form
    221.62/305.86 = 133.16/x
  3. Step 3: Cross multiply
    221.62x = 305.86 × 133.16
  4. Step 4: Simplify right side
    221.62x = 40,728.32
  5. Step 5: Solve for x
    x = 40,728.32/221.62
  6. Step 6: Final answer
    x = 183.78

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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.