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Finding the Fourth Proportional to 252.65, 378.25 and 166.08

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Solution

The fourth proportional to 252.65, 378.25 and 166.08 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.65 : 378.25 = 166.08 : x
  2. Step 2: Convert to fraction form
    252.65/378.25 = 166.08/x
  3. Step 3: Cross multiply
    252.65x = 378.25 × 166.08
  4. Step 4: Simplify right side
    252.65x = 62,819.76
  5. Step 5: Solve for x
    x = 62,819.76/252.65
  6. Step 6: Final answer
    x = 248.64

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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.