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Finding the Fourth Proportional to 243.80, 336.63 and 161.02

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Solution

The fourth proportional to 243.80, 336.63 and 161.02 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.80 : 336.63 = 161.02 : x
  2. Step 2: Convert to fraction form
    243.80/336.63 = 161.02/x
  3. Step 3: Cross multiply
    243.80x = 336.63 × 161.02
  4. Step 4: Simplify right side
    243.80x = 54,204.16
  5. Step 5: Solve for x
    x = 54,204.16/243.80
  6. Step 6: Final answer
    x = 222.33

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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.