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Finding the Fourth Proportional to 259.23, 388.46 and 149.31

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Solution

The fourth proportional to 259.23, 388.46 and 149.31 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 388.46 = 149.31 : x
  2. Step 2: Convert to fraction form
    259.23/388.46 = 149.31/x
  3. Step 3: Cross multiply
    259.23x = 388.46 × 149.31
  4. Step 4: Simplify right side
    259.23x = 58,000.22
  5. Step 5: Solve for x
    x = 58,000.22/259.23
  6. Step 6: Final answer
    x = 223.74

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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.