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Finding the Fourth Proportional to 181.41, 250.34 and 107.71

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Solution

The fourth proportional to 181.41, 250.34 and 107.71 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.41 : 250.34 = 107.71 : x
  2. Step 2: Convert to fraction form
    181.41/250.34 = 107.71/x
  3. Step 3: Cross multiply
    181.41x = 250.34 × 107.71
  4. Step 4: Simplify right side
    181.41x = 26,964.12
  5. Step 5: Solve for x
    x = 26,964.12/181.41
  6. Step 6: Final answer
    x = 148.64

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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.