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Finding the Fourth Proportional to 211.77, 317.78 and 81.86

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Solution

The fourth proportional to 211.77, 317.78 and 81.86 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.77 : 317.78 = 81.86 : x
  2. Step 2: Convert to fraction form
    211.77/317.78 = 81.86/x
  3. Step 3: Cross multiply
    211.77x = 317.78 × 81.86
  4. Step 4: Simplify right side
    211.77x = 26,011.47
  5. Step 5: Solve for x
    x = 26,011.47/211.77
  6. Step 6: Final answer
    x = 122.83

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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.