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Finding the Fourth Proportional to 269.15, 371.65 and 207.59

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Solution

The fourth proportional to 269.15, 371.65 and 207.59 is: 286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.15 : 371.65 = 207.59 : x
  2. Step 2: Convert to fraction form
    269.15/371.65 = 207.59/x
  3. Step 3: Cross multiply
    269.15x = 371.65 × 207.59
  4. Step 4: Simplify right side
    269.15x = 77,148.97
  5. Step 5: Solve for x
    x = 77,148.97/269.15
  6. Step 6: Final answer
    x = 286.64

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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.