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Finding the Fourth Proportional to 258.94, 387.80 and 198.19

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Solution

The fourth proportional to 258.94, 387.80 and 198.19 is: 296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.94 : 387.80 = 198.19 : x
  2. Step 2: Convert to fraction form
    258.94/387.80 = 198.19/x
  3. Step 3: Cross multiply
    258.94x = 387.80 × 198.19
  4. Step 4: Simplify right side
    258.94x = 76,856.12
  5. Step 5: Solve for x
    x = 76,856.12/258.94
  6. Step 6: Final answer
    x = 296.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.