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Finding the Fourth Proportional to 165, 247.35 and 96.51

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Solution

The fourth proportional to 165, 247.35 and 96.51 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 247.35 = 96.51 : x
  2. Step 2: Convert to fraction form
    165/247.35 = 96.51/x
  3. Step 3: Cross multiply
    165x = 247.35 × 96.51
  4. Step 4: Simplify right side
    165x = 23,871.75
  5. Step 5: Solve for x
    x = 23,871.75/165
  6. Step 6: Final answer
    x = 144.68

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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.