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Finding the Fourth Proportional to 167.68, 250.32 and 150.24

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Solution

The fourth proportional to 167.68, 250.32 and 150.24 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.68 : 250.32 = 150.24 : x
  2. Step 2: Convert to fraction form
    167.68/250.32 = 150.24/x
  3. Step 3: Cross multiply
    167.68x = 250.32 × 150.24
  4. Step 4: Simplify right side
    167.68x = 37,608.08
  5. Step 5: Solve for x
    x = 37,608.08/167.68
  6. Step 6: Final answer
    x = 224.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.