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Finding the Fourth Proportional to 233.62, 322.38 and 140.38

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Solution

The fourth proportional to 233.62, 322.38 and 140.38 is: 193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.62 : 322.38 = 140.38 : x
  2. Step 2: Convert to fraction form
    233.62/322.38 = 140.38/x
  3. Step 3: Cross multiply
    233.62x = 322.38 × 140.38
  4. Step 4: Simplify right side
    233.62x = 45,255.70
  5. Step 5: Solve for x
    x = 45,255.70/233.62
  6. Step 6: Final answer
    x = 193.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.