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Finding the Fourth Proportional to 243.29, 364.68 and 161.07

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Solution

The fourth proportional to 243.29, 364.68 and 161.07 is: 241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.29 : 364.68 = 161.07 : x
  2. Step 2: Convert to fraction form
    243.29/364.68 = 161.07/x
  3. Step 3: Cross multiply
    243.29x = 364.68 × 161.07
  4. Step 4: Simplify right side
    243.29x = 58,739.01
  5. Step 5: Solve for x
    x = 58,739.01/243.29
  6. Step 6: Final answer
    x = 241.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.