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Finding the Fourth Proportional to 178.84, 268.17 and 133.21

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Solution

The fourth proportional to 178.84, 268.17 and 133.21 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 268.17 = 133.21 : x
  2. Step 2: Convert to fraction form
    178.84/268.17 = 133.21/x
  3. Step 3: Cross multiply
    178.84x = 268.17 × 133.21
  4. Step 4: Simplify right side
    178.84x = 35,722.93
  5. Step 5: Solve for x
    x = 35,722.93/178.84
  6. Step 6: Final answer
    x = 199.75

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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.