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Finding the Fourth Proportional to 269.06, 371.31 and 152.65

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Solution

The fourth proportional to 269.06, 371.31 and 152.65 is: 210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.06 : 371.31 = 152.65 : x
  2. Step 2: Convert to fraction form
    269.06/371.31 = 152.65/x
  3. Step 3: Cross multiply
    269.06x = 371.31 × 152.65
  4. Step 4: Simplify right side
    269.06x = 56,679.54
  5. Step 5: Solve for x
    x = 56,679.54/269.06
  6. Step 6: Final answer
    x = 210.66

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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.