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Finding the Fourth Proportional to 259.47, 389.20 and 67.09

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Solution

The fourth proportional to 259.47, 389.20 and 67.09 is: 100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.47 : 389.20 = 67.09 : x
  2. Step 2: Convert to fraction form
    259.47/389.20 = 67.09/x
  3. Step 3: Cross multiply
    259.47x = 389.20 × 67.09
  4. Step 4: Simplify right side
    259.47x = 26,111.43
  5. Step 5: Solve for x
    x = 26,111.43/259.47
  6. Step 6: Final answer
    x = 100.64

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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.