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Finding the Fourth Proportional to 243.54, 334.22 and 237.42

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Solution

The fourth proportional to 243.54, 334.22 and 237.42 is: 325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.54 : 334.22 = 237.42 : x
  2. Step 2: Convert to fraction form
    243.54/334.22 = 237.42/x
  3. Step 3: Cross multiply
    243.54x = 334.22 × 237.42
  4. Step 4: Simplify right side
    243.54x = 79,349.33
  5. Step 5: Solve for x
    x = 79,349.33/243.54
  6. Step 6: Final answer
    x = 325.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.