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Finding the Fourth Proportional to 219.74, 329.63 and 65.68

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Solution

The fourth proportional to 219.74, 329.63 and 65.68 is: 98.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.74 : 329.63 = 65.68 : x
  2. Step 2: Convert to fraction form
    219.74/329.63 = 65.68/x
  3. Step 3: Cross multiply
    219.74x = 329.63 × 65.68
  4. Step 4: Simplify right side
    219.74x = 21,650.10
  5. Step 5: Solve for x
    x = 21,650.10/219.74
  6. Step 6: Final answer
    x = 98.53

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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.