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Finding the Fourth Proportional to 261.42, 360.41 and 224.97

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Solution

The fourth proportional to 261.42, 360.41 and 224.97 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.42 : 360.41 = 224.97 : x
  2. Step 2: Convert to fraction form
    261.42/360.41 = 224.97/x
  3. Step 3: Cross multiply
    261.42x = 360.41 × 224.97
  4. Step 4: Simplify right side
    261.42x = 81,081.44
  5. Step 5: Solve for x
    x = 81,081.44/261.42
  6. Step 6: Final answer
    x = 310.16

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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.