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Finding the Fourth Proportional to 194.56, 291.90 and 167.80

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Solution

The fourth proportional to 194.56, 291.90 and 167.80 is: 251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 291.90 = 167.80 : x
  2. Step 2: Convert to fraction form
    194.56/291.90 = 167.80/x
  3. Step 3: Cross multiply
    194.56x = 291.90 × 167.80
  4. Step 4: Simplify right side
    194.56x = 48,980.82
  5. Step 5: Solve for x
    x = 48,980.82/194.56
  6. Step 6: Final answer
    x = 251.75

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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.