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Finding the Fourth Proportional to 166.26, 248.76 and 118.20

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Solution

The fourth proportional to 166.26, 248.76 and 118.20 is: 176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 248.76 = 118.20 : x
  2. Step 2: Convert to fraction form
    166.26/248.76 = 118.20/x
  3. Step 3: Cross multiply
    166.26x = 248.76 × 118.20
  4. Step 4: Simplify right side
    166.26x = 29,403.43
  5. Step 5: Solve for x
    x = 29,403.43/166.26
  6. Step 6: Final answer
    x = 176.85

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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.