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Finding the Fourth Proportional to 167.49, 250.00 and 165.67

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Solution

The fourth proportional to 167.49, 250.00 and 165.67 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.49 : 250.00 = 165.67 : x
  2. Step 2: Convert to fraction form
    167.49/250.00 = 165.67/x
  3. Step 3: Cross multiply
    167.49x = 250.00 × 165.67
  4. Step 4: Simplify right side
    167.49x = 41,416.46
  5. Step 5: Solve for x
    x = 41,416.46/167.49
  6. Step 6: Final answer
    x = 247.28

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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.