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Finding the Fourth Proportional to 165.48, 248.16 and 107.70

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Solution

The fourth proportional to 165.48, 248.16 and 107.70 is: 161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 248.16 = 107.70 : x
  2. Step 2: Convert to fraction form
    165.48/248.16 = 107.70/x
  3. Step 3: Cross multiply
    165.48x = 248.16 × 107.70
  4. Step 4: Simplify right side
    165.48x = 26,726.31
  5. Step 5: Solve for x
    x = 26,726.31/165.48
  6. Step 6: Final answer
    x = 161.51

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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.