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Finding the Fourth Proportional to 181.68, 271.84 and 141.04

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Solution

The fourth proportional to 181.68, 271.84 and 141.04 is: 211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.68 : 271.84 = 141.04 : x
  2. Step 2: Convert to fraction form
    181.68/271.84 = 141.04/x
  3. Step 3: Cross multiply
    181.68x = 271.84 × 141.04
  4. Step 4: Simplify right side
    181.68x = 38,340.31
  5. Step 5: Solve for x
    x = 38,340.31/181.68
  6. Step 6: Final answer
    x = 211.03

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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.