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Finding the Fourth Proportional to 165.08, 247.71 and 73.84

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Solution

The fourth proportional to 165.08, 247.71 and 73.84 is: 110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 247.71 = 73.84 : x
  2. Step 2: Convert to fraction form
    165.08/247.71 = 73.84/x
  3. Step 3: Cross multiply
    165.08x = 247.71 × 73.84
  4. Step 4: Simplify right side
    165.08x = 18,290.61
  5. Step 5: Solve for x
    x = 18,290.61/165.08
  6. Step 6: Final answer
    x = 110.80

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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.