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Finding the Fourth Proportional to 261.91, 361.70 and 226.77

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Solution

The fourth proportional to 261.91, 361.70 and 226.77 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.91 : 361.70 = 226.77 : x
  2. Step 2: Convert to fraction form
    261.91/361.70 = 226.77/x
  3. Step 3: Cross multiply
    261.91x = 361.70 × 226.77
  4. Step 4: Simplify right side
    261.91x = 82,023.28
  5. Step 5: Solve for x
    x = 82,023.28/261.91
  6. Step 6: Final answer
    x = 313.18

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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.