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Finding the Fourth Proportional to 268.78, 403.18 and 124.46

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Solution

The fourth proportional to 268.78, 403.18 and 124.46 is: 186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.78 : 403.18 = 124.46 : x
  2. Step 2: Convert to fraction form
    268.78/403.18 = 124.46/x
  3. Step 3: Cross multiply
    268.78x = 403.18 × 124.46
  4. Step 4: Simplify right side
    268.78x = 50,179.78
  5. Step 5: Solve for x
    x = 50,179.78/268.78
  6. Step 6: Final answer
    x = 186.69

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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.