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Finding the Fourth Proportional to 259.04, 388.20 and 150.61

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Solution

The fourth proportional to 259.04, 388.20 and 150.61 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.04 : 388.20 = 150.61 : x
  2. Step 2: Convert to fraction form
    259.04/388.20 = 150.61/x
  3. Step 3: Cross multiply
    259.04x = 388.20 × 150.61
  4. Step 4: Simplify right side
    259.04x = 58,466.80
  5. Step 5: Solve for x
    x = 58,466.80/259.04
  6. Step 6: Final answer
    x = 225.71

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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.