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Finding the Fourth Proportional to 181.19, 250.24 and 122.87

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Solution

The fourth proportional to 181.19, 250.24 and 122.87 is: 169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.19 : 250.24 = 122.87 : x
  2. Step 2: Convert to fraction form
    181.19/250.24 = 122.87/x
  3. Step 3: Cross multiply
    181.19x = 250.24 × 122.87
  4. Step 4: Simplify right side
    181.19x = 30,746.99
  5. Step 5: Solve for x
    x = 30,746.99/181.19
  6. Step 6: Final answer
    x = 169.69

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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.