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Finding the Fourth Proportional to 217.34, 325.98 and 129.54

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Solution

The fourth proportional to 217.34, 325.98 and 129.54 is: 194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.34 : 325.98 = 129.54 : x
  2. Step 2: Convert to fraction form
    217.34/325.98 = 129.54/x
  3. Step 3: Cross multiply
    217.34x = 325.98 × 129.54
  4. Step 4: Simplify right side
    217.34x = 42,227.45
  5. Step 5: Solve for x
    x = 42,227.45/217.34
  6. Step 6: Final answer
    x = 194.29

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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.