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Finding the Fourth Proportional to 261.27, 361.34 and 233.59

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Solution

The fourth proportional to 261.27, 361.34 and 233.59 is: 323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.27 : 361.34 = 233.59 : x
  2. Step 2: Convert to fraction form
    261.27/361.34 = 233.59/x
  3. Step 3: Cross multiply
    261.27x = 361.34 × 233.59
  4. Step 4: Simplify right side
    261.27x = 84,405.41
  5. Step 5: Solve for x
    x = 84,405.41/261.27
  6. Step 6: Final answer
    x = 323.06

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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.