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Finding the Fourth Proportional to 252.24, 378.41 and 106.07

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Solution

The fourth proportional to 252.24, 378.41 and 106.07 is: 159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 378.41 = 106.07 : x
  2. Step 2: Convert to fraction form
    252.24/378.41 = 106.07/x
  3. Step 3: Cross multiply
    252.24x = 378.41 × 106.07
  4. Step 4: Simplify right side
    252.24x = 40,137.95
  5. Step 5: Solve for x
    x = 40,137.95/252.24
  6. Step 6: Final answer
    x = 159.13

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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.