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Finding the Fourth Proportional to 217.74, 300.72 and 169.20

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Solution

The fourth proportional to 217.74, 300.72 and 169.20 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 300.72 = 169.20 : x
  2. Step 2: Convert to fraction form
    217.74/300.72 = 169.20/x
  3. Step 3: Cross multiply
    217.74x = 300.72 × 169.20
  4. Step 4: Simplify right side
    217.74x = 50,881.82
  5. Step 5: Solve for x
    x = 50,881.82/217.74
  6. Step 6: Final answer
    x = 233.68

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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.