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Finding the Fourth Proportional to 150.75, 208.31 and 118.25

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Solution

The fourth proportional to 150.75, 208.31 and 118.25 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 208.31 = 118.25 : x
  2. Step 2: Convert to fraction form
    150.75/208.31 = 118.25/x
  3. Step 3: Cross multiply
    150.75x = 208.31 × 118.25
  4. Step 4: Simplify right side
    150.75x = 24,632.66
  5. Step 5: Solve for x
    x = 24,632.66/150.75
  6. Step 6: Final answer
    x = 163.40

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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.