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Finding the Fourth Proportional to 268.89, 402.60 and 176.11

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Solution

The fourth proportional to 268.89, 402.60 and 176.11 is: 263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.89 : 402.60 = 176.11 : x
  2. Step 2: Convert to fraction form
    268.89/402.60 = 176.11/x
  3. Step 3: Cross multiply
    268.89x = 402.60 × 176.11
  4. Step 4: Simplify right side
    268.89x = 70,901.54
  5. Step 5: Solve for x
    x = 70,901.54/268.89
  6. Step 6: Final answer
    x = 263.68

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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.