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Finding the Fourth Proportional to 217.68, 324.60 and 187.44

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Solution

The fourth proportional to 217.68, 324.60 and 187.44 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.68 : 324.60 = 187.44 : x
  2. Step 2: Convert to fraction form
    217.68/324.60 = 187.44/x
  3. Step 3: Cross multiply
    217.68x = 324.60 × 187.44
  4. Step 4: Simplify right side
    217.68x = 60,843.02
  5. Step 5: Solve for x
    x = 60,843.02/217.68
  6. Step 6: Final answer
    x = 279.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.