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Finding the Fourth Proportional to 201.48, 277.19 and 177.73

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Solution

The fourth proportional to 201.48, 277.19 and 177.73 is: 244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.48 : 277.19 = 177.73 : x
  2. Step 2: Convert to fraction form
    201.48/277.19 = 177.73/x
  3. Step 3: Cross multiply
    201.48x = 277.19 × 177.73
  4. Step 4: Simplify right side
    201.48x = 49,264.98
  5. Step 5: Solve for x
    x = 49,264.98/201.48
  6. Step 6: Final answer
    x = 244.52

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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.