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Finding the Fourth Proportional to 149.27, 205.91 and 114.23

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Solution

The fourth proportional to 149.27, 205.91 and 114.23 is: 157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.27 : 205.91 = 114.23 : x
  2. Step 2: Convert to fraction form
    149.27/205.91 = 114.23/x
  3. Step 3: Cross multiply
    149.27x = 205.91 × 114.23
  4. Step 4: Simplify right side
    149.27x = 23,520.53
  5. Step 5: Solve for x
    x = 23,520.53/149.27
  6. Step 6: Final answer
    x = 157.58

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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.