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Finding the Fourth Proportional to 166.80, 249.23 and 158.02

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Solution

The fourth proportional to 166.80, 249.23 and 158.02 is: 236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 249.23 = 158.02 : x
  2. Step 2: Convert to fraction form
    166.80/249.23 = 158.02/x
  3. Step 3: Cross multiply
    166.80x = 249.23 × 158.02
  4. Step 4: Simplify right side
    166.80x = 39,383.32
  5. Step 5: Solve for x
    x = 39,383.32/166.80
  6. Step 6: Final answer
    x = 236.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.