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Finding the Fourth Proportional to 248.96, 343.82 and 166.44

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Solution

The fourth proportional to 248.96, 343.82 and 166.44 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.96 : 343.82 = 166.44 : x
  2. Step 2: Convert to fraction form
    248.96/343.82 = 166.44/x
  3. Step 3: Cross multiply
    248.96x = 343.82 × 166.44
  4. Step 4: Simplify right side
    248.96x = 57,225.40
  5. Step 5: Solve for x
    x = 57,225.40/248.96
  6. Step 6: Final answer
    x = 229.86

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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.