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Finding the Fourth Proportional to 194.76, 292.54 and 165.92

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Solution

The fourth proportional to 194.76, 292.54 and 165.92 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.76 : 292.54 = 165.92 : x
  2. Step 2: Convert to fraction form
    194.76/292.54 = 165.92/x
  3. Step 3: Cross multiply
    194.76x = 292.54 × 165.92
  4. Step 4: Simplify right side
    194.76x = 48,538.24
  5. Step 5: Solve for x
    x = 48,538.24/194.76
  6. Step 6: Final answer
    x = 249.22

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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.