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Finding the Fourth Proportional to 270.97, 374.01 and 166.14

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Solution

The fourth proportional to 270.97, 374.01 and 166.14 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.97 : 374.01 = 166.14 : x
  2. Step 2: Convert to fraction form
    270.97/374.01 = 166.14/x
  3. Step 3: Cross multiply
    270.97x = 374.01 × 166.14
  4. Step 4: Simplify right side
    270.97x = 62,137.19
  5. Step 5: Solve for x
    x = 62,137.19/270.97
  6. Step 6: Final answer
    x = 229.31

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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.