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Finding the Fourth Proportional to 269.22, 371.54 and 152.79

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Solution

The fourth proportional to 269.22, 371.54 and 152.79 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.22 : 371.54 = 152.79 : x
  2. Step 2: Convert to fraction form
    269.22/371.54 = 152.79/x
  3. Step 3: Cross multiply
    269.22x = 371.54 × 152.79
  4. Step 4: Simplify right side
    269.22x = 56,764.97
  5. Step 5: Solve for x
    x = 56,764.97/269.22
  6. Step 6: Final answer
    x = 210.85

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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.