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Finding the Fourth Proportional to 181.24, 249.78 and 159.40

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Solution

The fourth proportional to 181.24, 249.78 and 159.40 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.24 : 249.78 = 159.40 : x
  2. Step 2: Convert to fraction form
    181.24/249.78 = 159.40/x
  3. Step 3: Cross multiply
    181.24x = 249.78 × 159.40
  4. Step 4: Simplify right side
    181.24x = 39,814.93
  5. Step 5: Solve for x
    x = 39,814.93/181.24
  6. Step 6: Final answer
    x = 219.68

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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.