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Finding the Fourth Proportional to 181.50, 250.53 and 122.57

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Solution

The fourth proportional to 181.50, 250.53 and 122.57 is: 169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.50 : 250.53 = 122.57 : x
  2. Step 2: Convert to fraction form
    181.50/250.53 = 122.57/x
  3. Step 3: Cross multiply
    181.50x = 250.53 × 122.57
  4. Step 4: Simplify right side
    181.50x = 30,706.85
  5. Step 5: Solve for x
    x = 30,706.85/181.50
  6. Step 6: Final answer
    x = 169.19

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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.