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Finding the Fourth Proportional to 181.42, 250.35 and 107.68

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Solution

The fourth proportional to 181.42, 250.35 and 107.68 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.42 : 250.35 = 107.68 : x
  2. Step 2: Convert to fraction form
    181.42/250.35 = 107.68/x
  3. Step 3: Cross multiply
    181.42x = 250.35 × 107.68
  4. Step 4: Simplify right side
    181.42x = 26,957.69
  5. Step 5: Solve for x
    x = 26,957.69/181.42
  6. Step 6: Final answer
    x = 148.59

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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.