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Finding the Fourth Proportional to 218.92, 329.00 and 210.84

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Solution

The fourth proportional to 218.92, 329.00 and 210.84 is: 316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.92 : 329.00 = 210.84 : x
  2. Step 2: Convert to fraction form
    218.92/329.00 = 210.84/x
  3. Step 3: Cross multiply
    218.92x = 329.00 × 210.84
  4. Step 4: Simplify right side
    218.92x = 69,363.66
  5. Step 5: Solve for x
    x = 69,363.66/218.92
  6. Step 6: Final answer
    x = 316.85

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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.