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Finding the Fourth Proportional to 166.02, 229.11 and 141.04

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Solution

The fourth proportional to 166.02, 229.11 and 141.04 is: 194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 229.11 = 141.04 : x
  2. Step 2: Convert to fraction form
    166.02/229.11 = 141.04/x
  3. Step 3: Cross multiply
    166.02x = 229.11 × 141.04
  4. Step 4: Simplify right side
    166.02x = 32,313.67
  5. Step 5: Solve for x
    x = 32,313.67/166.02
  6. Step 6: Final answer
    x = 194.64

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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.