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Finding the Fourth Proportional to 258.56, 387.70 and 207.31

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Solution

The fourth proportional to 258.56, 387.70 and 207.31 is: 310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.56 : 387.70 = 207.31 : x
  2. Step 2: Convert to fraction form
    258.56/387.70 = 207.31/x
  3. Step 3: Cross multiply
    258.56x = 387.70 × 207.31
  4. Step 4: Simplify right side
    258.56x = 80,374.09
  5. Step 5: Solve for x
    x = 80,374.09/258.56
  6. Step 6: Final answer
    x = 310.85

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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.