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Finding the Fourth Proportional to 233.47, 349.97 and 111.66

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Solution

The fourth proportional to 233.47, 349.97 and 111.66 is: 167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 349.97 = 111.66 : x
  2. Step 2: Convert to fraction form
    233.47/349.97 = 111.66/x
  3. Step 3: Cross multiply
    233.47x = 349.97 × 111.66
  4. Step 4: Simplify right side
    233.47x = 39,078.38
  5. Step 5: Solve for x
    x = 39,078.38/233.47
  6. Step 6: Final answer
    x = 167.38

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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.