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Finding the Fourth Proportional to 261.17, 391.77 and 78.57

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Solution

The fourth proportional to 261.17, 391.77 and 78.57 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.17 : 391.77 = 78.57 : x
  2. Step 2: Convert to fraction form
    261.17/391.77 = 78.57/x
  3. Step 3: Cross multiply
    261.17x = 391.77 × 78.57
  4. Step 4: Simplify right side
    261.17x = 30,781.37
  5. Step 5: Solve for x
    x = 30,781.37/261.17
  6. Step 6: Final answer
    x = 117.86

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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.