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Finding the Fourth Proportional to 218.03, 325.13 and 200.30

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Solution

The fourth proportional to 218.03, 325.13 and 200.30 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.03 : 325.13 = 200.30 : x
  2. Step 2: Convert to fraction form
    218.03/325.13 = 200.30/x
  3. Step 3: Cross multiply
    218.03x = 325.13 × 200.30
  4. Step 4: Simplify right side
    218.03x = 65,120.91
  5. Step 5: Solve for x
    x = 65,120.91/218.03
  6. Step 6: Final answer
    x = 298.69

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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.