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Finding the Fourth Proportional to 168.58, 252.56 and 151.07

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Solution

The fourth proportional to 168.58, 252.56 and 151.07 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.58 : 252.56 = 151.07 : x
  2. Step 2: Convert to fraction form
    168.58/252.56 = 151.07/x
  3. Step 3: Cross multiply
    168.58x = 252.56 × 151.07
  4. Step 4: Simplify right side
    168.58x = 38,153.35
  5. Step 5: Solve for x
    x = 38,153.35/168.58
  6. Step 6: Final answer
    x = 226.33

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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.