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Finding the Fourth Proportional to 181.85, 250.88 and 119.71

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Solution

The fourth proportional to 181.85, 250.88 and 119.71 is: 165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 250.88 = 119.71 : x
  2. Step 2: Convert to fraction form
    181.85/250.88 = 119.71/x
  3. Step 3: Cross multiply
    181.85x = 250.88 × 119.71
  4. Step 4: Simplify right side
    181.85x = 30,033.23
  5. Step 5: Solve for x
    x = 30,033.23/181.85
  6. Step 6: Final answer
    x = 165.16

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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.