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Finding the Fourth Proportional to 259.30, 389.19 and 105.22

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Solution

The fourth proportional to 259.30, 389.19 and 105.22 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.30 : 389.19 = 105.22 : x
  2. Step 2: Convert to fraction form
    259.30/389.19 = 105.22/x
  3. Step 3: Cross multiply
    259.30x = 389.19 × 105.22
  4. Step 4: Simplify right side
    259.30x = 40,950.57
  5. Step 5: Solve for x
    x = 40,950.57/259.30
  6. Step 6: Final answer
    x = 157.93

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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.