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Finding the Fourth Proportional to 165, 247.48 and 43.25

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Solution

The fourth proportional to 165, 247.48 and 43.25 is: 64.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 247.48 = 43.25 : x
  2. Step 2: Convert to fraction form
    165/247.48 = 43.25/x
  3. Step 3: Cross multiply
    165x = 247.48 × 43.25
  4. Step 4: Simplify right side
    165x = 10,703.51
  5. Step 5: Solve for x
    x = 10,703.51/165
  6. Step 6: Final answer
    x = 64.87

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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.