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Finding the Fourth Proportional to 233.39, 350.09 and 213.95

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Solution

The fourth proportional to 233.39, 350.09 and 213.95 is: 320.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.39 : 350.09 = 213.95 : x
  2. Step 2: Convert to fraction form
    233.39/350.09 = 213.95/x
  3. Step 3: Cross multiply
    233.39x = 350.09 × 213.95
  4. Step 4: Simplify right side
    233.39x = 74,902.36
  5. Step 5: Solve for x
    x = 74,902.36/233.39
  6. Step 6: Final answer
    x = 320.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.