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Finding the Fourth Proportional to 165, 247.64 and 145.79

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Solution

The fourth proportional to 165, 247.64 and 145.79 is: 218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 247.64 = 145.79 : x
  2. Step 2: Convert to fraction form
    165/247.64 = 145.79/x
  3. Step 3: Cross multiply
    165x = 247.64 × 145.79
  4. Step 4: Simplify right side
    165x = 36,101.47
  5. Step 5: Solve for x
    x = 36,101.47/165
  6. Step 6: Final answer
    x = 218.80

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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.