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Finding the Fourth Proportional to 165.82, 248.74 and 57.61

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Solution

The fourth proportional to 165.82, 248.74 and 57.61 is: 86.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 248.74 = 57.61 : x
  2. Step 2: Convert to fraction form
    165.82/248.74 = 57.61/x
  3. Step 3: Cross multiply
    165.82x = 248.74 × 57.61
  4. Step 4: Simplify right side
    165.82x = 14,330.44
  5. Step 5: Solve for x
    x = 14,330.44/165.82
  6. Step 6: Final answer
    x = 86.42

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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.