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Finding the Fourth Proportional to 261.67, 392.51 and 180.27

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Solution

The fourth proportional to 261.67, 392.51 and 180.27 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.67 : 392.51 = 180.27 : x
  2. Step 2: Convert to fraction form
    261.67/392.51 = 180.27/x
  3. Step 3: Cross multiply
    261.67x = 392.51 × 180.27
  4. Step 4: Simplify right side
    261.67x = 70,757.78
  5. Step 5: Solve for x
    x = 70,757.78/261.67
  6. Step 6: Final answer
    x = 270.41

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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.