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Finding the Fourth Proportional to 181.52, 250.62 and 144.76

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Solution

The fourth proportional to 181.52, 250.62 and 144.76 is: 199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.52 : 250.62 = 144.76 : x
  2. Step 2: Convert to fraction form
    181.52/250.62 = 144.76/x
  3. Step 3: Cross multiply
    181.52x = 250.62 × 144.76
  4. Step 4: Simplify right side
    181.52x = 36,279.75
  5. Step 5: Solve for x
    x = 36,279.75/181.52
  6. Step 6: Final answer
    x = 199.87

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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.