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Finding the Fourth Proportional to 150.75, 207.99 and 119.67

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Solution

The fourth proportional to 150.75, 207.99 and 119.67 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 207.99 = 119.67 : x
  2. Step 2: Convert to fraction form
    150.75/207.99 = 119.67/x
  3. Step 3: Cross multiply
    150.75x = 207.99 × 119.67
  4. Step 4: Simplify right side
    150.75x = 24,890.16
  5. Step 5: Solve for x
    x = 24,890.16/150.75
  6. Step 6: Final answer
    x = 165.11

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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.