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Finding the Fourth Proportional to 259.48, 389.04 and 137.74

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Solution

The fourth proportional to 259.48, 389.04 and 137.74 is: 206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 389.04 = 137.74 : x
  2. Step 2: Convert to fraction form
    259.48/389.04 = 137.74/x
  3. Step 3: Cross multiply
    259.48x = 389.04 × 137.74
  4. Step 4: Simplify right side
    259.48x = 53,586.37
  5. Step 5: Solve for x
    x = 53,586.37/259.48
  6. Step 6: Final answer
    x = 206.51

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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.