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Finding the Fourth Proportional to 179.94, 269.06 and 133.84

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Solution

The fourth proportional to 179.94, 269.06 and 133.84 is: 200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.94 : 269.06 = 133.84 : x
  2. Step 2: Convert to fraction form
    179.94/269.06 = 133.84/x
  3. Step 3: Cross multiply
    179.94x = 269.06 × 133.84
  4. Step 4: Simplify right side
    179.94x = 36,010.99
  5. Step 5: Solve for x
    x = 36,010.99/179.94
  6. Step 6: Final answer
    x = 200.13

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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.