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Finding the Fourth Proportional to 258.51, 387.75 and 207.78

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Solution

The fourth proportional to 258.51, 387.75 and 207.78 is: 311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.51 : 387.75 = 207.78 : x
  2. Step 2: Convert to fraction form
    258.51/387.75 = 207.78/x
  3. Step 3: Cross multiply
    258.51x = 387.75 × 207.78
  4. Step 4: Simplify right side
    258.51x = 80,566.70
  5. Step 5: Solve for x
    x = 80,566.70/258.51
  6. Step 6: Final answer
    x = 311.66

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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.