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Finding the Fourth Proportional to 149.23, 205.81 and 134.83

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Solution

The fourth proportional to 149.23, 205.81 and 134.83 is: 185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.23 : 205.81 = 134.83 : x
  2. Step 2: Convert to fraction form
    149.23/205.81 = 134.83/x
  3. Step 3: Cross multiply
    149.23x = 205.81 × 134.83
  4. Step 4: Simplify right side
    149.23x = 27,749.36
  5. Step 5: Solve for x
    x = 27,749.36/149.23
  6. Step 6: Final answer
    x = 185.95

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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.