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Finding the Fourth Proportional to 194.85, 292.65 and 185.85

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Solution

The fourth proportional to 194.85, 292.65 and 185.85 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 292.65 = 185.85 : x
  2. Step 2: Convert to fraction form
    194.85/292.65 = 185.85/x
  3. Step 3: Cross multiply
    194.85x = 292.65 × 185.85
  4. Step 4: Simplify right side
    194.85x = 54,389.00
  5. Step 5: Solve for x
    x = 54,389.00/194.85
  6. Step 6: Final answer
    x = 279.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.