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Finding the Fourth Proportional to 167.68, 231.06 and 157.24

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Solution

The fourth proportional to 167.68, 231.06 and 157.24 is: 216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.68 : 231.06 = 157.24 : x
  2. Step 2: Convert to fraction form
    167.68/231.06 = 157.24/x
  3. Step 3: Cross multiply
    167.68x = 231.06 × 157.24
  4. Step 4: Simplify right side
    167.68x = 36,331.87
  5. Step 5: Solve for x
    x = 36,331.87/167.68
  6. Step 6: Final answer
    x = 216.67

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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.