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Finding the Fourth Proportional to 252.54, 378.09 and 166.86

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Solution

The fourth proportional to 252.54, 378.09 and 166.86 is: 249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 378.09 = 166.86 : x
  2. Step 2: Convert to fraction form
    252.54/378.09 = 166.86/x
  3. Step 3: Cross multiply
    252.54x = 378.09 × 166.86
  4. Step 4: Simplify right side
    252.54x = 63,088.10
  5. Step 5: Solve for x
    x = 63,088.10/252.54
  6. Step 6: Final answer
    x = 249.81

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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.