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Finding the Fourth Proportional to 223.42, 334.86 and 161.62

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Solution

The fourth proportional to 223.42, 334.86 and 161.62 is: 242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.42 : 334.86 = 161.62 : x
  2. Step 2: Convert to fraction form
    223.42/334.86 = 161.62/x
  3. Step 3: Cross multiply
    223.42x = 334.86 × 161.62
  4. Step 4: Simplify right side
    223.42x = 54,120.07
  5. Step 5: Solve for x
    x = 54,120.07/223.42
  6. Step 6: Final answer
    x = 242.23

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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.