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Finding the Fourth Proportional to 261.00, 391.57 and 123.86

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Solution

The fourth proportional to 261.00, 391.57 and 123.86 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.00 : 391.57 = 123.86 : x
  2. Step 2: Convert to fraction form
    261.00/391.57 = 123.86/x
  3. Step 3: Cross multiply
    261.00x = 391.57 × 123.86
  4. Step 4: Simplify right side
    261.00x = 48,498.21
  5. Step 5: Solve for x
    x = 48,498.21/261.00
  6. Step 6: Final answer
    x = 185.82

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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.