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Finding the Fourth Proportional to 259.80, 388.92 and 233.64

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Solution

The fourth proportional to 259.80, 388.92 and 233.64 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 388.92 = 233.64 : x
  2. Step 2: Convert to fraction form
    259.80/388.92 = 233.64/x
  3. Step 3: Cross multiply
    259.80x = 388.92 × 233.64
  4. Step 4: Simplify right side
    259.80x = 90,867.27
  5. Step 5: Solve for x
    x = 90,867.27/259.80
  6. Step 6: Final answer
    x = 349.76

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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.