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Finding the Fourth Proportional to 233.23, 321.85 and 138.71

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Solution

The fourth proportional to 233.23, 321.85 and 138.71 is: 191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.23 : 321.85 = 138.71 : x
  2. Step 2: Convert to fraction form
    233.23/321.85 = 138.71/x
  3. Step 3: Cross multiply
    233.23x = 321.85 × 138.71
  4. Step 4: Simplify right side
    233.23x = 44,643.81
  5. Step 5: Solve for x
    x = 44,643.81/233.23
  6. Step 6: Final answer
    x = 191.42

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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.