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Finding the Fourth Proportional to 233.29, 321.76 and 149.23

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Solution

The fourth proportional to 233.29, 321.76 and 149.23 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.29 : 321.76 = 149.23 : x
  2. Step 2: Convert to fraction form
    233.29/321.76 = 149.23/x
  3. Step 3: Cross multiply
    233.29x = 321.76 × 149.23
  4. Step 4: Simplify right side
    233.29x = 48,016.24
  5. Step 5: Solve for x
    x = 48,016.24/233.29
  6. Step 6: Final answer
    x = 205.82

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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.