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Finding the Fourth Proportional to 261.46, 391.74 and 180.66

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Solution

The fourth proportional to 261.46, 391.74 and 180.66 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 391.74 = 180.66 : x
  2. Step 2: Convert to fraction form
    261.46/391.74 = 180.66/x
  3. Step 3: Cross multiply
    261.46x = 391.74 × 180.66
  4. Step 4: Simplify right side
    261.46x = 70,772.54
  5. Step 5: Solve for x
    x = 70,772.54/261.46
  6. Step 6: Final answer
    x = 270.68

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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.