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Finding the Fourth Proportional to 181.95, 251.00 and 110.06

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Solution

The fourth proportional to 181.95, 251.00 and 110.06 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.95 : 251.00 = 110.06 : x
  2. Step 2: Convert to fraction form
    181.95/251.00 = 110.06/x
  3. Step 3: Cross multiply
    181.95x = 251.00 × 110.06
  4. Step 4: Simplify right side
    181.95x = 27,624.61
  5. Step 5: Solve for x
    x = 27,624.61/181.95
  6. Step 6: Final answer
    x = 151.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.