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Finding the Fourth Proportional to 151.05, 208.31 and 118.29

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Solution

The fourth proportional to 151.05, 208.31 and 118.29 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.05 : 208.31 = 118.29 : x
  2. Step 2: Convert to fraction form
    151.05/208.31 = 118.29/x
  3. Step 3: Cross multiply
    151.05x = 208.31 × 118.29
  4. Step 4: Simplify right side
    151.05x = 24,640.40
  5. Step 5: Solve for x
    x = 24,640.40/151.05
  6. Step 6: Final answer
    x = 163.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.