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Finding the Fourth Proportional to 167.23, 250.81 and 159

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Solution

The fourth proportional to 167.23, 250.81 and 159 is: 238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.23 : 250.81 = 159 : x
  2. Step 2: Convert to fraction form
    167.23/250.81 = 159/x
  3. Step 3: Cross multiply
    167.23x = 250.81 × 159
  4. Step 4: Simplify right side
    167.23x = 39,878.00
  5. Step 5: Solve for x
    x = 39,878.00/167.23
  6. Step 6: Final answer
    x = 238.47

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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.