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Finding the Fourth Proportional to 268.92, 403.32 and 106.56

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Solution

The fourth proportional to 268.92, 403.32 and 106.56 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.92 : 403.32 = 106.56 : x
  2. Step 2: Convert to fraction form
    268.92/403.32 = 106.56/x
  3. Step 3: Cross multiply
    268.92x = 403.32 × 106.56
  4. Step 4: Simplify right side
    268.92x = 42,977.78
  5. Step 5: Solve for x
    x = 42,977.78/268.92
  6. Step 6: Final answer
    x = 159.82

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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.