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Finding the Fourth Proportional to 259.45, 389.32 and 105.35

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Solution

The fourth proportional to 259.45, 389.32 and 105.35 is: 158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.45 : 389.32 = 105.35 : x
  2. Step 2: Convert to fraction form
    259.45/389.32 = 105.35/x
  3. Step 3: Cross multiply
    259.45x = 389.32 × 105.35
  4. Step 4: Simplify right side
    259.45x = 41,012.65
  5. Step 5: Solve for x
    x = 41,012.65/259.45
  6. Step 6: Final answer
    x = 158.08

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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.