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Finding the Fourth Proportional to 269.77, 372.22 and 159.22

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Solution

The fourth proportional to 269.77, 372.22 and 159.22 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.77 : 372.22 = 159.22 : x
  2. Step 2: Convert to fraction form
    269.77/372.22 = 159.22/x
  3. Step 3: Cross multiply
    269.77x = 372.22 × 159.22
  4. Step 4: Simplify right side
    269.77x = 59,264.87
  5. Step 5: Solve for x
    x = 59,264.87/269.77
  6. Step 6: Final answer
    x = 219.69

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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.