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Finding the Fourth Proportional to 252.54, 378.90 and 108.24

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Solution

The fourth proportional to 252.54, 378.90 and 108.24 is: 162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 378.90 = 108.24 : x
  2. Step 2: Convert to fraction form
    252.54/378.90 = 108.24/x
  3. Step 3: Cross multiply
    252.54x = 378.90 × 108.24
  4. Step 4: Simplify right side
    252.54x = 41,012.14
  5. Step 5: Solve for x
    x = 41,012.14/252.54
  6. Step 6: Final answer
    x = 162.40

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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.