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Finding the Fourth Proportional to 261.56, 391.88 and 174.68

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Solution

The fourth proportional to 261.56, 391.88 and 174.68 is: 261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 391.88 = 174.68 : x
  2. Step 2: Convert to fraction form
    261.56/391.88 = 174.68/x
  3. Step 3: Cross multiply
    261.56x = 391.88 × 174.68
  4. Step 4: Simplify right side
    261.56x = 68,453.60
  5. Step 5: Solve for x
    x = 68,453.60/261.56
  6. Step 6: Final answer
    x = 261.71

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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.