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Finding the Fourth Proportional to 181.01, 271.11 and 140.31

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Solution

The fourth proportional to 181.01, 271.11 and 140.31 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.01 : 271.11 = 140.31 : x
  2. Step 2: Convert to fraction form
    181.01/271.11 = 140.31/x
  3. Step 3: Cross multiply
    181.01x = 271.11 × 140.31
  4. Step 4: Simplify right side
    181.01x = 38,039.97
  5. Step 5: Solve for x
    x = 38,039.97/181.01
  6. Step 6: Final answer
    x = 210.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.