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Finding the Fourth Proportional to 243.16, 335.78 and 234.24

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Solution

The fourth proportional to 243.16, 335.78 and 234.24 is: 323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.16 : 335.78 = 234.24 : x
  2. Step 2: Convert to fraction form
    243.16/335.78 = 234.24/x
  3. Step 3: Cross multiply
    243.16x = 335.78 × 234.24
  4. Step 4: Simplify right side
    243.16x = 78,653.11
  5. Step 5: Solve for x
    x = 78,653.11/243.16
  6. Step 6: Final answer
    x = 323.46

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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.