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Finding the Fourth Proportional to 181.41, 271.67 and 99.87

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Solution

The fourth proportional to 181.41, 271.67 and 99.87 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.41 : 271.67 = 99.87 : x
  2. Step 2: Convert to fraction form
    181.41/271.67 = 99.87/x
  3. Step 3: Cross multiply
    181.41x = 271.67 × 99.87
  4. Step 4: Simplify right side
    181.41x = 27,131.18
  5. Step 5: Solve for x
    x = 27,131.18/181.41
  6. Step 6: Final answer
    x = 149.56

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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.