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Finding the Fourth Proportional to 235.33, 353.03 and 142.94

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Solution

The fourth proportional to 235.33, 353.03 and 142.94 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.33 : 353.03 = 142.94 : x
  2. Step 2: Convert to fraction form
    235.33/353.03 = 142.94/x
  3. Step 3: Cross multiply
    235.33x = 353.03 × 142.94
  4. Step 4: Simplify right side
    235.33x = 50,462.28
  5. Step 5: Solve for x
    x = 50,462.28/235.33
  6. Step 6: Final answer
    x = 214.43

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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.