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Finding the Fourth Proportional to 167.50, 231.16 and 98.50

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Solution

The fourth proportional to 167.50, 231.16 and 98.50 is: 135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.50 : 231.16 = 98.50 : x
  2. Step 2: Convert to fraction form
    167.50/231.16 = 98.50/x
  3. Step 3: Cross multiply
    167.50x = 231.16 × 98.50
  4. Step 4: Simplify right side
    167.50x = 22,769.26
  5. Step 5: Solve for x
    x = 22,769.26/167.50
  6. Step 6: Final answer
    x = 135.94

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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.