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Finding the Fourth Proportional to 233.49, 350.21 and 142.17

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Solution

The fourth proportional to 233.49, 350.21 and 142.17 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 350.21 = 142.17 : x
  2. Step 2: Convert to fraction form
    233.49/350.21 = 142.17/x
  3. Step 3: Cross multiply
    233.49x = 350.21 × 142.17
  4. Step 4: Simplify right side
    233.49x = 49,789.36
  5. Step 5: Solve for x
    x = 49,789.36/233.49
  6. Step 6: Final answer
    x = 213.24

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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.