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Finding the Fourth Proportional to 181.36, 250.33 and 107.70

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Solution

The fourth proportional to 181.36, 250.33 and 107.70 is: 148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.36 : 250.33 = 107.70 : x
  2. Step 2: Convert to fraction form
    181.36/250.33 = 107.70/x
  3. Step 3: Cross multiply
    181.36x = 250.33 × 107.70
  4. Step 4: Simplify right side
    181.36x = 26,960.54
  5. Step 5: Solve for x
    x = 26,960.54/181.36
  6. Step 6: Final answer
    x = 148.66

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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.