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Finding the Fourth Proportional to 194.91, 292.19 and 164.67

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Solution

The fourth proportional to 194.91, 292.19 and 164.67 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.91 : 292.19 = 164.67 : x
  2. Step 2: Convert to fraction form
    194.91/292.19 = 164.67/x
  3. Step 3: Cross multiply
    194.91x = 292.19 × 164.67
  4. Step 4: Simplify right side
    194.91x = 48,114.10
  5. Step 5: Solve for x
    x = 48,114.10/194.91
  6. Step 6: Final answer
    x = 246.85

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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.