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Finding the Fourth Proportional to 269.52, 372.00 and 260.87

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Solution

The fourth proportional to 269.52, 372.00 and 260.87 is: 360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 372.00 = 260.87 : x
  2. Step 2: Convert to fraction form
    269.52/372.00 = 260.87/x
  3. Step 3: Cross multiply
    269.52x = 372.00 × 260.87
  4. Step 4: Simplify right side
    269.52x = 97,044.66
  5. Step 5: Solve for x
    x = 97,044.66/269.52
  6. Step 6: Final answer
    x = 360.06

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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.