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Finding the Fourth Proportional to 165.90, 248.64 and 74.50

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Solution

The fourth proportional to 165.90, 248.64 and 74.50 is: 111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 248.64 = 74.50 : x
  2. Step 2: Convert to fraction form
    165.90/248.64 = 74.50/x
  3. Step 3: Cross multiply
    165.90x = 248.64 × 74.50
  4. Step 4: Simplify right side
    165.90x = 18,523.68
  5. Step 5: Solve for x
    x = 18,523.68/165.90
  6. Step 6: Final answer
    x = 111.66

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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.