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Finding the Fourth Proportional to 270.20, 404.58 and 161.84

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Solution

The fourth proportional to 270.20, 404.58 and 161.84 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.20 : 404.58 = 161.84 : x
  2. Step 2: Convert to fraction form
    270.20/404.58 = 161.84/x
  3. Step 3: Cross multiply
    270.20x = 404.58 × 161.84
  4. Step 4: Simplify right side
    270.20x = 65,477.23
  5. Step 5: Solve for x
    x = 65,477.23/270.20
  6. Step 6: Final answer
    x = 242.33

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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.