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Finding the Fourth Proportional to 165.84, 248.45 and 105.09

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Solution

The fourth proportional to 165.84, 248.45 and 105.09 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 248.45 = 105.09 : x
  2. Step 2: Convert to fraction form
    165.84/248.45 = 105.09/x
  3. Step 3: Cross multiply
    165.84x = 248.45 × 105.09
  4. Step 4: Simplify right side
    165.84x = 26,109.09
  5. Step 5: Solve for x
    x = 26,109.09/165.84
  6. Step 6: Final answer
    x = 157.44

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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.