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Finding the Fourth Proportional to 270, 404.90 and 166.97

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Solution

The fourth proportional to 270, 404.90 and 166.97 is: 250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 404.90 = 166.97 : x
  2. Step 2: Convert to fraction form
    270/404.90 = 166.97/x
  3. Step 3: Cross multiply
    270x = 404.90 × 166.97
  4. Step 4: Simplify right side
    270x = 67,603.29
  5. Step 5: Solve for x
    x = 67,603.29/270
  6. Step 6: Final answer
    x = 250.38

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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.