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Finding the Fourth Proportional to 168.53, 252.56 and 151.67

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Solution

The fourth proportional to 168.53, 252.56 and 151.67 is: 227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.53 : 252.56 = 151.67 : x
  2. Step 2: Convert to fraction form
    168.53/252.56 = 151.67/x
  3. Step 3: Cross multiply
    168.53x = 252.56 × 151.67
  4. Step 4: Simplify right side
    168.53x = 38,303.75
  5. Step 5: Solve for x
    x = 38,303.75/168.53
  6. Step 6: Final answer
    x = 227.29

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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.