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Finding the Fourth Proportional to 221.47, 305.64 and 159.31

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Solution

The fourth proportional to 221.47, 305.64 and 159.31 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.47 : 305.64 = 159.31 : x
  2. Step 2: Convert to fraction form
    221.47/305.64 = 159.31/x
  3. Step 3: Cross multiply
    221.47x = 305.64 × 159.31
  4. Step 4: Simplify right side
    221.47x = 48,691.51
  5. Step 5: Solve for x
    x = 48,691.51/221.47
  6. Step 6: Final answer
    x = 219.86

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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.