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Finding the Fourth Proportional to 259.85, 389.83 and 138.15

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Solution

The fourth proportional to 259.85, 389.83 and 138.15 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.85 : 389.83 = 138.15 : x
  2. Step 2: Convert to fraction form
    259.85/389.83 = 138.15/x
  3. Step 3: Cross multiply
    259.85x = 389.83 × 138.15
  4. Step 4: Simplify right side
    259.85x = 53,854.67
  5. Step 5: Solve for x
    x = 53,854.67/259.85
  6. Step 6: Final answer
    x = 207.25

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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.