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Finding the Fourth Proportional to 151.33, 226.64 and 74.35

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Solution

The fourth proportional to 151.33, 226.64 and 74.35 is: 111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.33 : 226.64 = 74.35 : x
  2. Step 2: Convert to fraction form
    151.33/226.64 = 74.35/x
  3. Step 3: Cross multiply
    151.33x = 226.64 × 74.35
  4. Step 4: Simplify right side
    151.33x = 16,850.68
  5. Step 5: Solve for x
    x = 16,850.68/151.33
  6. Step 6: Final answer
    x = 111.35

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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.