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Finding the Fourth Proportional to 261.24, 391.30 and 169.70

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Solution

The fourth proportional to 261.24, 391.30 and 169.70 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 391.30 = 169.70 : x
  2. Step 2: Convert to fraction form
    261.24/391.30 = 169.70/x
  3. Step 3: Cross multiply
    261.24x = 391.30 × 169.70
  4. Step 4: Simplify right side
    261.24x = 66,403.61
  5. Step 5: Solve for x
    x = 66,403.61/261.24
  6. Step 6: Final answer
    x = 254.19

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