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Finding the Fourth Proportional to 181.22, 271.49 and 98.82

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Solution

The fourth proportional to 181.22, 271.49 and 98.82 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.22 : 271.49 = 98.82 : x
  2. Step 2: Convert to fraction form
    181.22/271.49 = 98.82/x
  3. Step 3: Cross multiply
    181.22x = 271.49 × 98.82
  4. Step 4: Simplify right side
    181.22x = 26,828.15
  5. Step 5: Solve for x
    x = 26,828.15/181.22
  6. Step 6: Final answer
    x = 148.05

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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.