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Finding the Fourth Proportional to 194.72, 292.09 and 165.77

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Solution

The fourth proportional to 194.72, 292.09 and 165.77 is: 248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.72 : 292.09 = 165.77 : x
  2. Step 2: Convert to fraction form
    194.72/292.09 = 165.77/x
  3. Step 3: Cross multiply
    194.72x = 292.09 × 165.77
  4. Step 4: Simplify right side
    194.72x = 48,417.47
  5. Step 5: Solve for x
    x = 48,417.47/194.72
  6. Step 6: Final answer
    x = 248.65

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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.