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Finding the Fourth Proportional to 150.68, 208.32 and 117.92

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Solution

The fourth proportional to 150.68, 208.32 and 117.92 is: 163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 208.32 = 117.92 : x
  2. Step 2: Convert to fraction form
    150.68/208.32 = 117.92/x
  3. Step 3: Cross multiply
    150.68x = 208.32 × 117.92
  4. Step 4: Simplify right side
    150.68x = 24,565.09
  5. Step 5: Solve for x
    x = 24,565.09/150.68
  6. Step 6: Final answer
    x = 163.03

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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.