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Finding the Fourth Proportional to 261.58, 361.25 and 239.37

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Solution

The fourth proportional to 261.58, 361.25 and 239.37 is: 330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.58 : 361.25 = 239.37 : x
  2. Step 2: Convert to fraction form
    261.58/361.25 = 239.37/x
  3. Step 3: Cross multiply
    261.58x = 361.25 × 239.37
  4. Step 4: Simplify right side
    261.58x = 86,472.41
  5. Step 5: Solve for x
    x = 86,472.41/261.58
  6. Step 6: Final answer
    x = 330.58

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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.