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Finding the Fourth Proportional to 240.14, 330.81 and 166.33

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Solution

The fourth proportional to 240.14, 330.81 and 166.33 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.14 : 330.81 = 166.33 : x
  2. Step 2: Convert to fraction form
    240.14/330.81 = 166.33/x
  3. Step 3: Cross multiply
    240.14x = 330.81 × 166.33
  4. Step 4: Simplify right side
    240.14x = 55,023.63
  5. Step 5: Solve for x
    x = 55,023.63/240.14
  6. Step 6: Final answer
    x = 229.13

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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.