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Finding the Fourth Proportional to 150.56, 207.16 and 149.56

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Solution

The fourth proportional to 150.56, 207.16 and 149.56 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 207.16 = 149.56 : x
  2. Step 2: Convert to fraction form
    150.56/207.16 = 149.56/x
  3. Step 3: Cross multiply
    150.56x = 207.16 × 149.56
  4. Step 4: Simplify right side
    150.56x = 30,982.85
  5. Step 5: Solve for x
    x = 30,982.85/150.56
  6. Step 6: Final answer
    x = 205.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.