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Finding the Fourth Proportional to 233.50, 324.47 and 230.97

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Solution

The fourth proportional to 233.50, 324.47 and 230.97 is: 320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 324.47 = 230.97 : x
  2. Step 2: Convert to fraction form
    233.50/324.47 = 230.97/x
  3. Step 3: Cross multiply
    233.50x = 324.47 × 230.97
  4. Step 4: Simplify right side
    233.50x = 74,942.84
  5. Step 5: Solve for x
    x = 74,942.84/233.50
  6. Step 6: Final answer
    x = 320.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.