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Finding the Fourth Proportional to 269.64, 372.08 and 159.11

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Solution

The fourth proportional to 269.64, 372.08 and 159.11 is: 219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.64 : 372.08 = 159.11 : x
  2. Step 2: Convert to fraction form
    269.64/372.08 = 159.11/x
  3. Step 3: Cross multiply
    269.64x = 372.08 × 159.11
  4. Step 4: Simplify right side
    269.64x = 59,200.69
  5. Step 5: Solve for x
    x = 59,200.69/269.64
  6. Step 6: Final answer
    x = 219.55

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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.