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Finding the Fourth Proportional to 149.59, 223.77 and 114.97

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Solution

The fourth proportional to 149.59, 223.77 and 114.97 is: 171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.59 : 223.77 = 114.97 : x
  2. Step 2: Convert to fraction form
    149.59/223.77 = 114.97/x
  3. Step 3: Cross multiply
    149.59x = 223.77 × 114.97
  4. Step 4: Simplify right side
    149.59x = 25,725.72
  5. Step 5: Solve for x
    x = 25,725.72/149.59
  6. Step 6: Final answer
    x = 171.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.