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Finding the Fourth Proportional to 285.49, 393.92 and 161.14

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Solution

The fourth proportional to 285.49, 393.92 and 161.14 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.49 : 393.92 = 161.14 : x
  2. Step 2: Convert to fraction form
    285.49/393.92 = 161.14/x
  3. Step 3: Cross multiply
    285.49x = 393.92 × 161.14
  4. Step 4: Simplify right side
    285.49x = 63,474.48
  5. Step 5: Solve for x
    x = 63,474.48/285.49
  6. Step 6: Final answer
    x = 222.34

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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.