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Finding the Fourth Proportional to 243.16, 335.51 and 138.23

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Solution

The fourth proportional to 243.16, 335.51 and 138.23 is: 190.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.16 : 335.51 = 138.23 : x
  2. Step 2: Convert to fraction form
    243.16/335.51 = 138.23/x
  3. Step 3: Cross multiply
    243.16x = 335.51 × 138.23
  4. Step 4: Simplify right side
    243.16x = 46,377.55
  5. Step 5: Solve for x
    x = 46,377.55/243.16
  6. Step 6: Final answer
    x = 190.73

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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.