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Finding the Fourth Proportional to 181.82, 250.89 and 107.14

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Solution

The fourth proportional to 181.82, 250.89 and 107.14 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.82 : 250.89 = 107.14 : x
  2. Step 2: Convert to fraction form
    181.82/250.89 = 107.14/x
  3. Step 3: Cross multiply
    181.82x = 250.89 × 107.14
  4. Step 4: Simplify right side
    181.82x = 26,880.10
  5. Step 5: Solve for x
    x = 26,880.10/181.82
  6. Step 6: Final answer
    x = 147.84

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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.