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Finding the Fourth Proportional to 149.86, 207.74 and 144.82

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Solution

The fourth proportional to 149.86, 207.74 and 144.82 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.86 : 207.74 = 144.82 : x
  2. Step 2: Convert to fraction form
    149.86/207.74 = 144.82/x
  3. Step 3: Cross multiply
    149.86x = 207.74 × 144.82
  4. Step 4: Simplify right side
    149.86x = 30,084.91
  5. Step 5: Solve for x
    x = 30,084.91/149.86
  6. Step 6: Final answer
    x = 200.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.