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Finding the Fourth Proportional to 165.36, 247.88 and 79.84

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Solution

The fourth proportional to 165.36, 247.88 and 79.84 is: 119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 247.88 = 79.84 : x
  2. Step 2: Convert to fraction form
    165.36/247.88 = 79.84/x
  3. Step 3: Cross multiply
    165.36x = 247.88 × 79.84
  4. Step 4: Simplify right side
    165.36x = 19,790.74
  5. Step 5: Solve for x
    x = 19,790.74/165.36
  6. Step 6: Final answer
    x = 119.68

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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.