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Finding the Fourth Proportional to 233.14, 349.71 and 142.39

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Solution

The fourth proportional to 233.14, 349.71 and 142.39 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 349.71 = 142.39 : x
  2. Step 2: Convert to fraction form
    233.14/349.71 = 142.39/x
  3. Step 3: Cross multiply
    233.14x = 349.71 × 142.39
  4. Step 4: Simplify right side
    233.14x = 49,795.51
  5. Step 5: Solve for x
    x = 49,795.51/233.14
  6. Step 6: Final answer
    x = 213.59

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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.