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Finding the Fourth Proportional to 262.31, 393.31 and 108.19

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Solution

The fourth proportional to 262.31, 393.31 and 108.19 is: 162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.31 : 393.31 = 108.19 : x
  2. Step 2: Convert to fraction form
    262.31/393.31 = 108.19/x
  3. Step 3: Cross multiply
    262.31x = 393.31 × 108.19
  4. Step 4: Simplify right side
    262.31x = 42,550.01
  5. Step 5: Solve for x
    x = 42,550.01/262.31
  6. Step 6: Final answer
    x = 162.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.