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Finding the Fourth Proportional to 217.32, 326 and 152.12

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Solution

The fourth proportional to 217.32, 326 and 152.12 is: 228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 326 = 152.12 : x
  2. Step 2: Convert to fraction form
    217.32/326 = 152.12/x
  3. Step 3: Cross multiply
    217.32x = 326 × 152.12
  4. Step 4: Simplify right side
    217.32x = 49,591.12
  5. Step 5: Solve for x
    x = 49,591.12/217.32
  6. Step 6: Final answer
    x = 228.19

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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.