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Finding the Fourth Proportional to 194.92, 292.70 and 186.26

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Solution

The fourth proportional to 194.92, 292.70 and 186.26 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 292.70 = 186.26 : x
  2. Step 2: Convert to fraction form
    194.92/292.70 = 186.26/x
  3. Step 3: Cross multiply
    194.92x = 292.70 × 186.26
  4. Step 4: Simplify right side
    194.92x = 54,518.30
  5. Step 5: Solve for x
    x = 54,518.30/194.92
  6. Step 6: Final answer
    x = 279.70

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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.