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Finding the Fourth Proportional to 200.24, 278.22 and 198.10

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Solution

The fourth proportional to 200.24, 278.22 and 198.10 is: 275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 278.22 = 198.10 : x
  2. Step 2: Convert to fraction form
    200.24/278.22 = 198.10/x
  3. Step 3: Cross multiply
    200.24x = 278.22 × 198.10
  4. Step 4: Simplify right side
    200.24x = 55,115.38
  5. Step 5: Solve for x
    x = 55,115.38/200.24
  6. Step 6: Final answer
    x = 275.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.