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Finding the Fourth Proportional to 165.00, 247.50 and 83.86

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Solution

The fourth proportional to 165.00, 247.50 and 83.86 is: 125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.00 : 247.50 = 83.86 : x
  2. Step 2: Convert to fraction form
    165.00/247.50 = 83.86/x
  3. Step 3: Cross multiply
    165.00x = 247.50 × 83.86
  4. Step 4: Simplify right side
    165.00x = 20,754.93
  5. Step 5: Solve for x
    x = 20,754.93/165.00
  6. Step 6: Final answer
    x = 125.79

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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.