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Finding the Fourth Proportional to 181.39, 271.85 and 94.70

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Solution

The fourth proportional to 181.39, 271.85 and 94.70 is: 141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.39 : 271.85 = 94.70 : x
  2. Step 2: Convert to fraction form
    181.39/271.85 = 94.70/x
  3. Step 3: Cross multiply
    181.39x = 271.85 × 94.70
  4. Step 4: Simplify right side
    181.39x = 25,743.72
  5. Step 5: Solve for x
    x = 25,743.72/181.39
  6. Step 6: Final answer
    x = 141.93

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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.