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Finding the Fourth Proportional to 252.28, 378.15 and 108.10

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Solution

The fourth proportional to 252.28, 378.15 and 108.10 is: 162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.28 : 378.15 = 108.10 : x
  2. Step 2: Convert to fraction form
    252.28/378.15 = 108.10/x
  3. Step 3: Cross multiply
    252.28x = 378.15 × 108.10
  4. Step 4: Simplify right side
    252.28x = 40,878.02
  5. Step 5: Solve for x
    x = 40,878.02/252.28
  6. Step 6: Final answer
    x = 162.03

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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.