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Finding the Fourth Proportional to 183.96, 276.91 and 157.57

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Solution

The fourth proportional to 183.96, 276.91 and 157.57 is: 237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 276.91 = 157.57 : x
  2. Step 2: Convert to fraction form
    183.96/276.91 = 157.57/x
  3. Step 3: Cross multiply
    183.96x = 276.91 × 157.57
  4. Step 4: Simplify right side
    183.96x = 43,631.62
  5. Step 5: Solve for x
    x = 43,631.62/183.96
  6. Step 6: Final answer
    x = 237.18

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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.