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Finding the Fourth Proportional to 258.26, 387.39 and 206.66

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Solution

The fourth proportional to 258.26, 387.39 and 206.66 is: 310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.26 : 387.39 = 206.66 : x
  2. Step 2: Convert to fraction form
    258.26/387.39 = 206.66/x
  3. Step 3: Cross multiply
    258.26x = 387.39 × 206.66
  4. Step 4: Simplify right side
    258.26x = 80,059.76
  5. Step 5: Solve for x
    x = 80,059.76/258.26
  6. Step 6: Final answer
    x = 310.00

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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.