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Finding the Fourth Proportional to 181.79, 251.16 and 140.45

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Solution

The fourth proportional to 181.79, 251.16 and 140.45 is: 194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.79 : 251.16 = 140.45 : x
  2. Step 2: Convert to fraction form
    181.79/251.16 = 140.45/x
  3. Step 3: Cross multiply
    181.79x = 251.16 × 140.45
  4. Step 4: Simplify right side
    181.79x = 35,274.98
  5. Step 5: Solve for x
    x = 35,274.98/181.79
  6. Step 6: Final answer
    x = 194.04

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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.