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Finding the Fourth Proportional to 217.86, 300.88 and 144.48

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Solution

The fourth proportional to 217.86, 300.88 and 144.48 is: 199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 300.88 = 144.48 : x
  2. Step 2: Convert to fraction form
    217.86/300.88 = 144.48/x
  3. Step 3: Cross multiply
    217.86x = 300.88 × 144.48
  4. Step 4: Simplify right side
    217.86x = 43,472.45
  5. Step 5: Solve for x
    x = 43,472.45/217.86
  6. Step 6: Final answer
    x = 199.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.