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Finding the Fourth Proportional to 194.72, 290.96 and 167.76

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Solution

The fourth proportional to 194.72, 290.96 and 167.76 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.72 : 290.96 = 167.76 : x
  2. Step 2: Convert to fraction form
    194.72/290.96 = 167.76/x
  3. Step 3: Cross multiply
    194.72x = 290.96 × 167.76
  4. Step 4: Simplify right side
    194.72x = 48,811.45
  5. Step 5: Solve for x
    x = 48,811.45/194.72
  6. Step 6: Final answer
    x = 250.68

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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.