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Finding the Fourth Proportional to 168.45, 253.82 and 138.68

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Solution

The fourth proportional to 168.45, 253.82 and 138.68 is: 208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.45 : 253.82 = 138.68 : x
  2. Step 2: Convert to fraction form
    168.45/253.82 = 138.68/x
  3. Step 3: Cross multiply
    168.45x = 253.82 × 138.68
  4. Step 4: Simplify right side
    168.45x = 35,199.76
  5. Step 5: Solve for x
    x = 35,199.76/168.45
  6. Step 6: Final answer
    x = 208.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.