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Finding the Fourth Proportional to 201.28, 277.74 and 126.58

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Solution

The fourth proportional to 201.28, 277.74 and 126.58 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.28 : 277.74 = 126.58 : x
  2. Step 2: Convert to fraction form
    201.28/277.74 = 126.58/x
  3. Step 3: Cross multiply
    201.28x = 277.74 × 126.58
  4. Step 4: Simplify right side
    201.28x = 35,156.33
  5. Step 5: Solve for x
    x = 35,156.33/201.28
  6. Step 6: Final answer
    x = 174.66

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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.