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Finding the Fourth Proportional to 183.96, 254.06 and 115

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Solution

The fourth proportional to 183.96, 254.06 and 115 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 254.06 = 115 : x
  2. Step 2: Convert to fraction form
    183.96/254.06 = 115/x
  3. Step 3: Cross multiply
    183.96x = 254.06 × 115
  4. Step 4: Simplify right side
    183.96x = 29,216.90
  5. Step 5: Solve for x
    x = 29,216.90/183.96
  6. Step 6: Final answer
    x = 158.82

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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.