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Finding the Fourth Proportional to 202.08, 277.56 and 198.24

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Solution

The fourth proportional to 202.08, 277.56 and 198.24 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 277.56 = 198.24 : x
  2. Step 2: Convert to fraction form
    202.08/277.56 = 198.24/x
  3. Step 3: Cross multiply
    202.08x = 277.56 × 198.24
  4. Step 4: Simplify right side
    202.08x = 55,023.49
  5. Step 5: Solve for x
    x = 55,023.49/202.08
  6. Step 6: Final answer
    x = 272.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.