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Finding the Fourth Proportional to 219.99, 330.20 and 98.34

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Solution

The fourth proportional to 219.99, 330.20 and 98.34 is: 147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.99 : 330.20 = 98.34 : x
  2. Step 2: Convert to fraction form
    219.99/330.20 = 98.34/x
  3. Step 3: Cross multiply
    219.99x = 330.20 × 98.34
  4. Step 4: Simplify right side
    219.99x = 32,471.87
  5. Step 5: Solve for x
    x = 32,471.87/219.99
  6. Step 6: Final answer
    x = 147.61

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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.