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Finding the Fourth Proportional to 253.12, 379.78 and 106.92

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Solution

The fourth proportional to 253.12, 379.78 and 106.92 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 379.78 = 106.92 : x
  2. Step 2: Convert to fraction form
    253.12/379.78 = 106.92/x
  3. Step 3: Cross multiply
    253.12x = 379.78 × 106.92
  4. Step 4: Simplify right side
    253.12x = 40,606.08
  5. Step 5: Solve for x
    x = 40,606.08/253.12
  6. Step 6: Final answer
    x = 160.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.