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Finding the Fourth Proportional to 217.84, 327.18 and 195.52

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Solution

The fourth proportional to 217.84, 327.18 and 195.52 is: 293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 327.18 = 195.52 : x
  2. Step 2: Convert to fraction form
    217.84/327.18 = 195.52/x
  3. Step 3: Cross multiply
    217.84x = 327.18 × 195.52
  4. Step 4: Simplify right side
    217.84x = 63,970.23
  5. Step 5: Solve for x
    x = 63,970.23/217.84
  6. Step 6: Final answer
    x = 293.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.