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Finding the Fourth Proportional to 258.11, 387.16 and 206.68

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Solution

The fourth proportional to 258.11, 387.16 and 206.68 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.11 : 387.16 = 206.68 : x
  2. Step 2: Convert to fraction form
    258.11/387.16 = 206.68/x
  3. Step 3: Cross multiply
    258.11x = 387.16 × 206.68
  4. Step 4: Simplify right side
    258.11x = 80,018.23
  5. Step 5: Solve for x
    x = 80,018.23/258.11
  6. Step 6: Final answer
    x = 310.02

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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.