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Finding the Fourth Proportional to 167.56, 250.03 and 150.25

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Solution

The fourth proportional to 167.56, 250.03 and 150.25 is: 224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.56 : 250.03 = 150.25 : x
  2. Step 2: Convert to fraction form
    167.56/250.03 = 150.25/x
  3. Step 3: Cross multiply
    167.56x = 250.03 × 150.25
  4. Step 4: Simplify right side
    167.56x = 37,567.01
  5. Step 5: Solve for x
    x = 37,567.01/167.56
  6. Step 6: Final answer
    x = 224.20

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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.