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Finding the Fourth Proportional to 200.14, 298.81 and 161.47

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Solution

The fourth proportional to 200.14, 298.81 and 161.47 is: 241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 298.81 = 161.47 : x
  2. Step 2: Convert to fraction form
    200.14/298.81 = 161.47/x
  3. Step 3: Cross multiply
    200.14x = 298.81 × 161.47
  4. Step 4: Simplify right side
    200.14x = 48,248.04
  5. Step 5: Solve for x
    x = 48,248.04/200.14
  6. Step 6: Final answer
    x = 241.07

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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.