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Finding the Fourth Proportional to 259.44, 389.04 and 105.30

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Solution

The fourth proportional to 259.44, 389.04 and 105.30 is: 157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.44 : 389.04 = 105.30 : x
  2. Step 2: Convert to fraction form
    259.44/389.04 = 105.30/x
  3. Step 3: Cross multiply
    259.44x = 389.04 × 105.30
  4. Step 4: Simplify right side
    259.44x = 40,965.91
  5. Step 5: Solve for x
    x = 40,965.91/259.44
  6. Step 6: Final answer
    x = 157.90

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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.