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Finding the Fourth Proportional to 214.79, 296.15 and 198.38

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Solution

The fourth proportional to 214.79, 296.15 and 198.38 is: 273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.79 : 296.15 = 198.38 : x
  2. Step 2: Convert to fraction form
    214.79/296.15 = 198.38/x
  3. Step 3: Cross multiply
    214.79x = 296.15 × 198.38
  4. Step 4: Simplify right side
    214.79x = 58,751.47
  5. Step 5: Solve for x
    x = 58,751.47/214.79
  6. Step 6: Final answer
    x = 273.54

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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.