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Finding the Fourth Proportional to 269.63, 372.05 and 159.11

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Solution

The fourth proportional to 269.63, 372.05 and 159.11 is: 219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.63 : 372.05 = 159.11 : x
  2. Step 2: Convert to fraction form
    269.63/372.05 = 159.11/x
  3. Step 3: Cross multiply
    269.63x = 372.05 × 159.11
  4. Step 4: Simplify right side
    269.63x = 59,194.22
  5. Step 5: Solve for x
    x = 59,194.22/269.63
  6. Step 6: Final answer
    x = 219.54

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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.