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Finding the Fourth Proportional to 261.38, 360.24 and 195.86

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Solution

The fourth proportional to 261.38, 360.24 and 195.86 is: 269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 360.24 = 195.86 : x
  2. Step 2: Convert to fraction form
    261.38/360.24 = 195.86/x
  3. Step 3: Cross multiply
    261.38x = 360.24 × 195.86
  4. Step 4: Simplify right side
    261.38x = 70,556.61
  5. Step 5: Solve for x
    x = 70,556.61/261.38
  6. Step 6: Final answer
    x = 269.94

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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.