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Finding the Fourth Proportional to 218.74, 299.71 and 215.85

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Solution

The fourth proportional to 218.74, 299.71 and 215.85 is: 295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 299.71 = 215.85 : x
  2. Step 2: Convert to fraction form
    218.74/299.71 = 215.85/x
  3. Step 3: Cross multiply
    218.74x = 299.71 × 215.85
  4. Step 4: Simplify right side
    218.74x = 64,692.40
  5. Step 5: Solve for x
    x = 64,692.40/218.74
  6. Step 6: Final answer
    x = 295.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.