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Finding the Fourth Proportional to 150.33, 207.81 and 119.46

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Solution

The fourth proportional to 150.33, 207.81 and 119.46 is: 165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.33 : 207.81 = 119.46 : x
  2. Step 2: Convert to fraction form
    150.33/207.81 = 119.46/x
  3. Step 3: Cross multiply
    150.33x = 207.81 × 119.46
  4. Step 4: Simplify right side
    150.33x = 24,824.98
  5. Step 5: Solve for x
    x = 24,824.98/150.33
  6. Step 6: Final answer
    x = 165.14

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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.