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Finding the Fourth Proportional to 308.42, 425.72 and 198.06

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Solution

The fourth proportional to 308.42, 425.72 and 198.06 is: 273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.42 : 425.72 = 198.06 : x
  2. Step 2: Convert to fraction form
    308.42/425.72 = 198.06/x
  3. Step 3: Cross multiply
    308.42x = 425.72 × 198.06
  4. Step 4: Simplify right side
    308.42x = 84,318.10
  5. Step 5: Solve for x
    x = 84,318.10/308.42
  6. Step 6: Final answer
    x = 273.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.