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Finding the Fourth Proportional to 261.72, 361.44 and 226.58

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Solution

The fourth proportional to 261.72, 361.44 and 226.58 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.72 : 361.44 = 226.58 : x
  2. Step 2: Convert to fraction form
    261.72/361.44 = 226.58/x
  3. Step 3: Cross multiply
    261.72x = 361.44 × 226.58
  4. Step 4: Simplify right side
    261.72x = 81,895.08
  5. Step 5: Solve for x
    x = 81,895.08/261.72
  6. Step 6: Final answer
    x = 312.91

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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.