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Finding the Fourth Proportional to 218.45, 327.77 and 115.82

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Solution

The fourth proportional to 218.45, 327.77 and 115.82 is: 173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.45 : 327.77 = 115.82 : x
  2. Step 2: Convert to fraction form
    218.45/327.77 = 115.82/x
  3. Step 3: Cross multiply
    218.45x = 327.77 × 115.82
  4. Step 4: Simplify right side
    218.45x = 37,960.10
  5. Step 5: Solve for x
    x = 37,960.10/218.45
  6. Step 6: Final answer
    x = 173.77

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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.