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Finding the Fourth Proportional to 181.48, 271.94 and 113.08

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Solution

The fourth proportional to 181.48, 271.94 and 113.08 is: 169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.48 : 271.94 = 113.08 : x
  2. Step 2: Convert to fraction form
    181.48/271.94 = 113.08/x
  3. Step 3: Cross multiply
    181.48x = 271.94 × 113.08
  4. Step 4: Simplify right side
    181.48x = 30,750.98
  5. Step 5: Solve for x
    x = 30,750.98/181.48
  6. Step 6: Final answer
    x = 169.45

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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.