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Finding the Fourth Proportional to 235.04, 353.10 and 166.73

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Solution

The fourth proportional to 235.04, 353.10 and 166.73 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.04 : 353.10 = 166.73 : x
  2. Step 2: Convert to fraction form
    235.04/353.10 = 166.73/x
  3. Step 3: Cross multiply
    235.04x = 353.10 × 166.73
  4. Step 4: Simplify right side
    235.04x = 58,872.36
  5. Step 5: Solve for x
    x = 58,872.36/235.04
  6. Step 6: Final answer
    x = 250.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.