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Finding the Fourth Proportional to 269.23, 371.60 and 207

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Solution

The fourth proportional to 269.23, 371.60 and 207 is: 285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.23 : 371.60 = 207 : x
  2. Step 2: Convert to fraction form
    269.23/371.60 = 207/x
  3. Step 3: Cross multiply
    269.23x = 371.60 × 207
  4. Step 4: Simplify right side
    269.23x = 76,921.20
  5. Step 5: Solve for x
    x = 76,921.20/269.23
  6. Step 6: Final answer
    x = 285.71

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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.