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Finding the Fourth Proportional to 261.15, 360.41 and 166.61

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Solution

The fourth proportional to 261.15, 360.41 and 166.61 is: 229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.15 : 360.41 = 166.61 : x
  2. Step 2: Convert to fraction form
    261.15/360.41 = 166.61/x
  3. Step 3: Cross multiply
    261.15x = 360.41 × 166.61
  4. Step 4: Simplify right side
    261.15x = 60,047.91
  5. Step 5: Solve for x
    x = 60,047.91/261.15
  6. Step 6: Final answer
    x = 229.94

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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.