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Finding the Fourth Proportional to 233.15, 321.85 and 150.38

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Solution

The fourth proportional to 233.15, 321.85 and 150.38 is: 207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.15 : 321.85 = 150.38 : x
  2. Step 2: Convert to fraction form
    233.15/321.85 = 150.38/x
  3. Step 3: Cross multiply
    233.15x = 321.85 × 150.38
  4. Step 4: Simplify right side
    233.15x = 48,399.80
  5. Step 5: Solve for x
    x = 48,399.80/233.15
  6. Step 6: Final answer
    x = 207.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.