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Finding the Fourth Proportional to 308.48, 425.59 and 198.01

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Solution

The fourth proportional to 308.48, 425.59 and 198.01 is: 273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.48 : 425.59 = 198.01 : x
  2. Step 2: Convert to fraction form
    308.48/425.59 = 198.01/x
  3. Step 3: Cross multiply
    308.48x = 425.59 × 198.01
  4. Step 4: Simplify right side
    308.48x = 84,272.14
  5. Step 5: Solve for x
    x = 84,272.14/308.48
  6. Step 6: Final answer
    x = 273.19

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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.