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Finding the Fourth Proportional to 165.36, 248.34 and 113.52

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Solution

The fourth proportional to 165.36, 248.34 and 113.52 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 248.34 = 113.52 : x
  2. Step 2: Convert to fraction form
    165.36/248.34 = 113.52/x
  3. Step 3: Cross multiply
    165.36x = 248.34 × 113.52
  4. Step 4: Simplify right side
    165.36x = 28,191.56
  5. Step 5: Solve for x
    x = 28,191.56/165.36
  6. Step 6: Final answer
    x = 170.49

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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.