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Finding the Fourth Proportional to 194.85, 292.74 and 189.18

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Solution

The fourth proportional to 194.85, 292.74 and 189.18 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 292.74 = 189.18 : x
  2. Step 2: Convert to fraction form
    194.85/292.74 = 189.18/x
  3. Step 3: Cross multiply
    194.85x = 292.74 × 189.18
  4. Step 4: Simplify right side
    194.85x = 55,380.55
  5. Step 5: Solve for x
    x = 55,380.55/194.85
  6. Step 6: Final answer
    x = 284.22

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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.