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Finding the Fourth Proportional to 268.61, 403.14 and 106.41

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Solution

The fourth proportional to 268.61, 403.14 and 106.41 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.61 : 403.14 = 106.41 : x
  2. Step 2: Convert to fraction form
    268.61/403.14 = 106.41/x
  3. Step 3: Cross multiply
    268.61x = 403.14 × 106.41
  4. Step 4: Simplify right side
    268.61x = 42,898.13
  5. Step 5: Solve for x
    x = 42,898.13/268.61
  6. Step 6: Final answer
    x = 159.71

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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.