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Finding the Fourth Proportional to 219.74, 329.61 and 98

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Solution

The fourth proportional to 219.74, 329.61 and 98 is: 147

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.74 : 329.61 = 98 : x
  2. Step 2: Convert to fraction form
    219.74/329.61 = 98/x
  3. Step 3: Cross multiply
    219.74x = 329.61 × 98
  4. Step 4: Simplify right side
    219.74x = 32,301.78
  5. Step 5: Solve for x
    x = 32,301.78/219.74
  6. Step 6: Final answer
    x = 147

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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.