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Finding the Fourth Proportional to 167.09, 250.50 and 102.02

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Solution

The fourth proportional to 167.09, 250.50 and 102.02 is: 152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.09 : 250.50 = 102.02 : x
  2. Step 2: Convert to fraction form
    167.09/250.50 = 102.02/x
  3. Step 3: Cross multiply
    167.09x = 250.50 × 102.02
  4. Step 4: Simplify right side
    167.09x = 25,556.01
  5. Step 5: Solve for x
    x = 25,556.01/167.09
  6. Step 6: Final answer
    x = 152.95

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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.