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Finding the Fourth Proportional to 248.37, 372.02 and 166.83

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Solution

The fourth proportional to 248.37, 372.02 and 166.83 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.37 : 372.02 = 166.83 : x
  2. Step 2: Convert to fraction form
    248.37/372.02 = 166.83/x
  3. Step 3: Cross multiply
    248.37x = 372.02 × 166.83
  4. Step 4: Simplify right side
    248.37x = 62,063.26
  5. Step 5: Solve for x
    x = 62,063.26/248.37
  6. Step 6: Final answer
    x = 249.88

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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.