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Finding the Fourth Proportional to 166.41, 230.13 and 141.81

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Solution

The fourth proportional to 166.41, 230.13 and 141.81 is: 196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 230.13 = 141.81 : x
  2. Step 2: Convert to fraction form
    166.41/230.13 = 141.81/x
  3. Step 3: Cross multiply
    166.41x = 230.13 × 141.81
  4. Step 4: Simplify right side
    166.41x = 32,634.74
  5. Step 5: Solve for x
    x = 32,634.74/166.41
  6. Step 6: Final answer
    x = 196.11

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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.