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Finding the Fourth Proportional to 165.98, 247.78 and 144.38

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Solution

The fourth proportional to 165.98, 247.78 and 144.38 is: 215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 247.78 = 144.38 : x
  2. Step 2: Convert to fraction form
    165.98/247.78 = 144.38/x
  3. Step 3: Cross multiply
    165.98x = 247.78 × 144.38
  4. Step 4: Simplify right side
    165.98x = 35,774.48
  5. Step 5: Solve for x
    x = 35,774.48/165.98
  6. Step 6: Final answer
    x = 215.53

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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.