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Finding the Fourth Proportional to 167.03, 250.32 and 162.11

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Solution

The fourth proportional to 167.03, 250.32 and 162.11 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.03 : 250.32 = 162.11 : x
  2. Step 2: Convert to fraction form
    167.03/250.32 = 162.11/x
  3. Step 3: Cross multiply
    167.03x = 250.32 × 162.11
  4. Step 4: Simplify right side
    167.03x = 40,578.12
  5. Step 5: Solve for x
    x = 40,578.12/167.03
  6. Step 6: Final answer
    x = 242.94

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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.