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Finding the Fourth Proportional to 259.65, 389.47 and 105.53

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Solution

The fourth proportional to 259.65, 389.47 and 105.53 is: 158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.65 : 389.47 = 105.53 : x
  2. Step 2: Convert to fraction form
    259.65/389.47 = 105.53/x
  3. Step 3: Cross multiply
    259.65x = 389.47 × 105.53
  4. Step 4: Simplify right side
    259.65x = 41,100.77
  5. Step 5: Solve for x
    x = 41,100.77/259.65
  6. Step 6: Final answer
    x = 158.29

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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.