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Finding the Fourth Proportional to 181.84, 250.84 and 149.24

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Solution

The fourth proportional to 181.84, 250.84 and 149.24 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.84 : 250.84 = 149.24 : x
  2. Step 2: Convert to fraction form
    181.84/250.84 = 149.24/x
  3. Step 3: Cross multiply
    181.84x = 250.84 × 149.24
  4. Step 4: Simplify right side
    181.84x = 37,435.36
  5. Step 5: Solve for x
    x = 37,435.36/181.84
  6. Step 6: Final answer
    x = 205.87

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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.