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Finding the Fourth Proportional to 259.05, 388.65 and 247.83

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Solution

The fourth proportional to 259.05, 388.65 and 247.83 is: 371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.05 : 388.65 = 247.83 : x
  2. Step 2: Convert to fraction form
    259.05/388.65 = 247.83/x
  3. Step 3: Cross multiply
    259.05x = 388.65 × 247.83
  4. Step 4: Simplify right side
    259.05x = 96,319.13
  5. Step 5: Solve for x
    x = 96,319.13/259.05
  6. Step 6: Final answer
    x = 371.82

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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.