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Finding the Fourth Proportional to 181.36, 250.30 and 107.69

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Solution

The fourth proportional to 181.36, 250.30 and 107.69 is: 148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.36 : 250.30 = 107.69 : x
  2. Step 2: Convert to fraction form
    181.36/250.30 = 107.69/x
  3. Step 3: Cross multiply
    181.36x = 250.30 × 107.69
  4. Step 4: Simplify right side
    181.36x = 26,953.69
  5. Step 5: Solve for x
    x = 26,953.69/181.36
  6. Step 6: Final answer
    x = 148.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.