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Finding the Fourth Proportional to 269.34, 371.10 and 202.65

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Solution

The fourth proportional to 269.34, 371.10 and 202.65 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.34 : 371.10 = 202.65 : x
  2. Step 2: Convert to fraction form
    269.34/371.10 = 202.65/x
  3. Step 3: Cross multiply
    269.34x = 371.10 × 202.65
  4. Step 4: Simplify right side
    269.34x = 75,203.42
  5. Step 5: Solve for x
    x = 75,203.42/269.34
  6. Step 6: Final answer
    x = 279.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.