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Finding the Fourth Proportional to 233.44, 349.30 and 150.78

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Solution

The fourth proportional to 233.44, 349.30 and 150.78 is: 225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.44 : 349.30 = 150.78 : x
  2. Step 2: Convert to fraction form
    233.44/349.30 = 150.78/x
  3. Step 3: Cross multiply
    233.44x = 349.30 × 150.78
  4. Step 4: Simplify right side
    233.44x = 52,667.45
  5. Step 5: Solve for x
    x = 52,667.45/233.44
  6. Step 6: Final answer
    x = 225.61

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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.