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Finding the Fourth Proportional to 219.52, 326.88 and 200.16

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Solution

The fourth proportional to 219.52, 326.88 and 200.16 is: 298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.52 : 326.88 = 200.16 : x
  2. Step 2: Convert to fraction form
    219.52/326.88 = 200.16/x
  3. Step 3: Cross multiply
    219.52x = 326.88 × 200.16
  4. Step 4: Simplify right side
    219.52x = 65,428.30
  5. Step 5: Solve for x
    x = 65,428.30/219.52
  6. Step 6: Final answer
    x = 298.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.