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Finding the Fourth Proportional to 269.89, 372.29 and 159.35

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Solution

The fourth proportional to 269.89, 372.29 and 159.35 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.89 : 372.29 = 159.35 : x
  2. Step 2: Convert to fraction form
    269.89/372.29 = 159.35/x
  3. Step 3: Cross multiply
    269.89x = 372.29 × 159.35
  4. Step 4: Simplify right side
    269.89x = 59,321.75
  5. Step 5: Solve for x
    x = 59,321.75/269.89
  6. Step 6: Final answer
    x = 219.80

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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.