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Finding the Fourth Proportional to 243.84, 363.37 and 237.16

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Solution

The fourth proportional to 243.84, 363.37 and 237.16 is: 353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 363.37 = 237.16 : x
  2. Step 2: Convert to fraction form
    243.84/363.37 = 237.16/x
  3. Step 3: Cross multiply
    243.84x = 363.37 × 237.16
  4. Step 4: Simplify right side
    243.84x = 86,175.60
  5. Step 5: Solve for x
    x = 86,175.60/243.84
  6. Step 6: Final answer
    x = 353.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.