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Finding the Fourth Proportional to 150.75, 208.02 and 119.57

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Solution

The fourth proportional to 150.75, 208.02 and 119.57 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 208.02 = 119.57 : x
  2. Step 2: Convert to fraction form
    150.75/208.02 = 119.57/x
  3. Step 3: Cross multiply
    150.75x = 208.02 × 119.57
  4. Step 4: Simplify right side
    150.75x = 24,871.91
  5. Step 5: Solve for x
    x = 24,871.91/150.75
  6. Step 6: Final answer
    x = 164.99

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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.