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Finding the Fourth Proportional to 261.57, 360.86 and 163.16

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Solution

The fourth proportional to 261.57, 360.86 and 163.16 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.57 : 360.86 = 163.16 : x
  2. Step 2: Convert to fraction form
    261.57/360.86 = 163.16/x
  3. Step 3: Cross multiply
    261.57x = 360.86 × 163.16
  4. Step 4: Simplify right side
    261.57x = 58,877.92
  5. Step 5: Solve for x
    x = 58,877.92/261.57
  6. Step 6: Final answer
    x = 225.09

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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.