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Finding the Fourth Proportional to 217.54, 325.34 and 193.32

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Solution

The fourth proportional to 217.54, 325.34 and 193.32 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.54 : 325.34 = 193.32 : x
  2. Step 2: Convert to fraction form
    217.54/325.34 = 193.32/x
  3. Step 3: Cross multiply
    217.54x = 325.34 × 193.32
  4. Step 4: Simplify right side
    217.54x = 62,894.73
  5. Step 5: Solve for x
    x = 62,894.73/217.54
  6. Step 6: Final answer
    x = 289.12

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Why These Related Problems?

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