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Finding the Fourth Proportional to 237.50, 327.81 and 167.57

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Solution

The fourth proportional to 237.50, 327.81 and 167.57 is: 231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.50 : 327.81 = 167.57 : x
  2. Step 2: Convert to fraction form
    237.50/327.81 = 167.57/x
  3. Step 3: Cross multiply
    237.50x = 327.81 × 167.57
  4. Step 4: Simplify right side
    237.50x = 54,931.34
  5. Step 5: Solve for x
    x = 54,931.34/237.50
  6. Step 6: Final answer
    x = 231.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.