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Finding the Fourth Proportional to 259.89, 389.82 and 138.08

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Solution

The fourth proportional to 259.89, 389.82 and 138.08 is: 207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.89 : 389.82 = 138.08 : x
  2. Step 2: Convert to fraction form
    259.89/389.82 = 138.08/x
  3. Step 3: Cross multiply
    259.89x = 389.82 × 138.08
  4. Step 4: Simplify right side
    259.89x = 53,826.35
  5. Step 5: Solve for x
    x = 53,826.35/259.89
  6. Step 6: Final answer
    x = 207.11

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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.