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Finding the Fourth Proportional to 261.92, 361.10 and 225.47

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Solution

The fourth proportional to 261.92, 361.10 and 225.47 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.92 : 361.10 = 225.47 : x
  2. Step 2: Convert to fraction form
    261.92/361.10 = 225.47/x
  3. Step 3: Cross multiply
    261.92x = 361.10 × 225.47
  4. Step 4: Simplify right side
    261.92x = 81,417.22
  5. Step 5: Solve for x
    x = 81,417.22/261.92
  6. Step 6: Final answer
    x = 310.85

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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.