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Finding the Fourth Proportional to 269.16, 371.46 and 152.73

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Solution

The fourth proportional to 269.16, 371.46 and 152.73 is: 210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.16 : 371.46 = 152.73 : x
  2. Step 2: Convert to fraction form
    269.16/371.46 = 152.73/x
  3. Step 3: Cross multiply
    269.16x = 371.46 × 152.73
  4. Step 4: Simplify right side
    269.16x = 56,733.09
  5. Step 5: Solve for x
    x = 56,733.09/269.16
  6. Step 6: Final answer
    x = 210.78

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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.