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Finding the Fourth Proportional to 258.76, 387.66 and 198.28

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Solution

The fourth proportional to 258.76, 387.66 and 198.28 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.76 : 387.66 = 198.28 : x
  2. Step 2: Convert to fraction form
    258.76/387.66 = 198.28/x
  3. Step 3: Cross multiply
    258.76x = 387.66 × 198.28
  4. Step 4: Simplify right side
    258.76x = 76,865.22
  5. Step 5: Solve for x
    x = 76,865.22/258.76
  6. Step 6: Final answer
    x = 297.05

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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.