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Finding the Fourth Proportional to 269.10, 401.67 and 238.32

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Solution

The fourth proportional to 269.10, 401.67 and 238.32 is: 355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 401.67 = 238.32 : x
  2. Step 2: Convert to fraction form
    269.10/401.67 = 238.32/x
  3. Step 3: Cross multiply
    269.10x = 401.67 × 238.32
  4. Step 4: Simplify right side
    269.10x = 95,725.99
  5. Step 5: Solve for x
    x = 95,725.99/269.10
  6. Step 6: Final answer
    x = 355.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.