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Finding the Fourth Proportional to 174.14, 262.14 and 133.74

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Solution

The fourth proportional to 174.14, 262.14 and 133.74 is: 201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.14 : 262.14 = 133.74 : x
  2. Step 2: Convert to fraction form
    174.14/262.14 = 133.74/x
  3. Step 3: Cross multiply
    174.14x = 262.14 × 133.74
  4. Step 4: Simplify right side
    174.14x = 35,058.60
  5. Step 5: Solve for x
    x = 35,058.60/174.14
  6. Step 6: Final answer
    x = 201.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.