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Finding the Fourth Proportional to 221.08, 305.13 and 159.11

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Solution

The fourth proportional to 221.08, 305.13 and 159.11 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.08 : 305.13 = 159.11 : x
  2. Step 2: Convert to fraction form
    221.08/305.13 = 159.11/x
  3. Step 3: Cross multiply
    221.08x = 305.13 × 159.11
  4. Step 4: Simplify right side
    221.08x = 48,551.17
  5. Step 5: Solve for x
    x = 48,551.17/221.08
  6. Step 6: Final answer
    x = 219.61

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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.