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Finding the Fourth Proportional to 201.74, 277.95 and 132.62

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Solution

The fourth proportional to 201.74, 277.95 and 132.62 is: 182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.74 : 277.95 = 132.62 : x
  2. Step 2: Convert to fraction form
    201.74/277.95 = 132.62/x
  3. Step 3: Cross multiply
    201.74x = 277.95 × 132.62
  4. Step 4: Simplify right side
    201.74x = 36,861.73
  5. Step 5: Solve for x
    x = 36,861.73/201.74
  6. Step 6: Final answer
    x = 182.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.