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Finding the Fourth Proportional to 219.46, 329.17 and 57.16

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Solution

The fourth proportional to 219.46, 329.17 and 57.16 is: 85.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.46 : 329.17 = 57.16 : x
  2. Step 2: Convert to fraction form
    219.46/329.17 = 57.16/x
  3. Step 3: Cross multiply
    219.46x = 329.17 × 57.16
  4. Step 4: Simplify right side
    219.46x = 18,815.21
  5. Step 5: Solve for x
    x = 18,815.21/219.46
  6. Step 6: Final answer
    x = 85.73

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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.