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Finding the Fourth Proportional to 185.72, 277.13 and 165.26

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Solution

The fourth proportional to 185.72, 277.13 and 165.26 is: 246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 277.13 = 165.26 : x
  2. Step 2: Convert to fraction form
    185.72/277.13 = 165.26/x
  3. Step 3: Cross multiply
    185.72x = 277.13 × 165.26
  4. Step 4: Simplify right side
    185.72x = 45,799.61
  5. Step 5: Solve for x
    x = 45,799.61/185.72
  6. Step 6: Final answer
    x = 246.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.