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Finding the Fourth Proportional to 151.64, 226.97 and 120.86

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Solution

The fourth proportional to 151.64, 226.97 and 120.86 is: 180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.64 : 226.97 = 120.86 : x
  2. Step 2: Convert to fraction form
    151.64/226.97 = 120.86/x
  3. Step 3: Cross multiply
    151.64x = 226.97 × 120.86
  4. Step 4: Simplify right side
    151.64x = 27,431.16
  5. Step 5: Solve for x
    x = 27,431.16/151.64
  6. Step 6: Final answer
    x = 180.90

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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.