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Finding the Fourth Proportional to 181.16, 249.07 and 147.54

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Solution

The fourth proportional to 181.16, 249.07 and 147.54 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.16 : 249.07 = 147.54 : x
  2. Step 2: Convert to fraction form
    181.16/249.07 = 147.54/x
  3. Step 3: Cross multiply
    181.16x = 249.07 × 147.54
  4. Step 4: Simplify right side
    181.16x = 36,747.05
  5. Step 5: Solve for x
    x = 36,747.05/181.16
  6. Step 6: Final answer
    x = 202.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.