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Finding the Fourth Proportional to 261.10, 360.21 and 162.97

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Solution

The fourth proportional to 261.10, 360.21 and 162.97 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.10 : 360.21 = 162.97 : x
  2. Step 2: Convert to fraction form
    261.10/360.21 = 162.97/x
  3. Step 3: Cross multiply
    261.10x = 360.21 × 162.97
  4. Step 4: Simplify right side
    261.10x = 58,703.42
  5. Step 5: Solve for x
    x = 58,703.42/261.10
  6. Step 6: Final answer
    x = 224.83

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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.