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Finding the Fourth Proportional to 168.04, 251.74 and 150.16

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Solution

The fourth proportional to 168.04, 251.74 and 150.16 is: 224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.04 : 251.74 = 150.16 : x
  2. Step 2: Convert to fraction form
    168.04/251.74 = 150.16/x
  3. Step 3: Cross multiply
    168.04x = 251.74 × 150.16
  4. Step 4: Simplify right side
    168.04x = 37,801.28
  5. Step 5: Solve for x
    x = 37,801.28/168.04
  6. Step 6: Final answer
    x = 224.95

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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.