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Finding the Fourth Proportional to 233.14, 321.87 and 154.52

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Solution

The fourth proportional to 233.14, 321.87 and 154.52 is: 213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 321.87 = 154.52 : x
  2. Step 2: Convert to fraction form
    233.14/321.87 = 154.52/x
  3. Step 3: Cross multiply
    233.14x = 321.87 × 154.52
  4. Step 4: Simplify right side
    233.14x = 49,735.55
  5. Step 5: Solve for x
    x = 49,735.55/233.14
  6. Step 6: Final answer
    x = 213.33

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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.