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Finding the Fourth Proportional to 259.07, 387.83 and 249.84

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Solution

The fourth proportional to 259.07, 387.83 and 249.84 is: 374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.07 : 387.83 = 249.84 : x
  2. Step 2: Convert to fraction form
    259.07/387.83 = 249.84/x
  3. Step 3: Cross multiply
    259.07x = 387.83 × 249.84
  4. Step 4: Simplify right side
    259.07x = 96,895.45
  5. Step 5: Solve for x
    x = 96,895.45/259.07
  6. Step 6: Final answer
    x = 374.01

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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.