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Finding the Fourth Proportional to 149.38, 205.68 and 131.83

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Solution

The fourth proportional to 149.38, 205.68 and 131.83 is: 181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 205.68 = 131.83 : x
  2. Step 2: Convert to fraction form
    149.38/205.68 = 131.83/x
  3. Step 3: Cross multiply
    149.38x = 205.68 × 131.83
  4. Step 4: Simplify right side
    149.38x = 27,114.79
  5. Step 5: Solve for x
    x = 27,114.79/149.38
  6. Step 6: Final answer
    x = 181.52

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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.