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Finding the Fourth Proportional to 261.37, 392.13 and 232.69

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Solution

The fourth proportional to 261.37, 392.13 and 232.69 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.37 : 392.13 = 232.69 : x
  2. Step 2: Convert to fraction form
    261.37/392.13 = 232.69/x
  3. Step 3: Cross multiply
    261.37x = 392.13 × 232.69
  4. Step 4: Simplify right side
    261.37x = 91,244.73
  5. Step 5: Solve for x
    x = 91,244.73/261.37
  6. Step 6: Final answer
    x = 349.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.