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Finding the Fourth Proportional to 194.95, 292.12 and 164.38

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Solution

The fourth proportional to 194.95, 292.12 and 164.38 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.95 : 292.12 = 164.38 : x
  2. Step 2: Convert to fraction form
    194.95/292.12 = 164.38/x
  3. Step 3: Cross multiply
    194.95x = 292.12 × 164.38
  4. Step 4: Simplify right side
    194.95x = 48,017.23
  5. Step 5: Solve for x
    x = 48,017.23/194.95
  6. Step 6: Final answer
    x = 246.31

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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.