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Finding the Fourth Proportional to 165.98, 247.97 and 144.41

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Solution

The fourth proportional to 165.98, 247.97 and 144.41 is: 215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 247.97 = 144.41 : x
  2. Step 2: Convert to fraction form
    165.98/247.97 = 144.41/x
  3. Step 3: Cross multiply
    165.98x = 247.97 × 144.41
  4. Step 4: Simplify right side
    165.98x = 35,808.47
  5. Step 5: Solve for x
    x = 35,808.47/165.98
  6. Step 6: Final answer
    x = 215.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.