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Finding the Fourth Proportional to 221.59, 305.42 and 159.32

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Solution

The fourth proportional to 221.59, 305.42 and 159.32 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.59 : 305.42 = 159.32 : x
  2. Step 2: Convert to fraction form
    221.59/305.42 = 159.32/x
  3. Step 3: Cross multiply
    221.59x = 305.42 × 159.32
  4. Step 4: Simplify right side
    221.59x = 48,660.68
  5. Step 5: Solve for x
    x = 48,660.68/221.59
  6. Step 6: Final answer
    x = 219.60

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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.