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Finding the Fourth Proportional to 151.05, 208.32 and 139.20

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Solution

The fourth proportional to 151.05, 208.32 and 139.20 is: 191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.05 : 208.32 = 139.20 : x
  2. Step 2: Convert to fraction form
    151.05/208.32 = 139.20/x
  3. Step 3: Cross multiply
    151.05x = 208.32 × 139.20
  4. Step 4: Simplify right side
    151.05x = 28,998.14
  5. Step 5: Solve for x
    x = 28,998.14/151.05
  6. Step 6: Final answer
    x = 191.98

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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.