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Finding the Fourth Proportional to 165.78, 248.69 and 74.39

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Solution

The fourth proportional to 165.78, 248.69 and 74.39 is: 111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.69 = 74.39 : x
  2. Step 2: Convert to fraction form
    165.78/248.69 = 74.39/x
  3. Step 3: Cross multiply
    165.78x = 248.69 × 74.39
  4. Step 4: Simplify right side
    165.78x = 18,498.99
  5. Step 5: Solve for x
    x = 18,498.99/165.78
  6. Step 6: Final answer
    x = 111.59

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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.