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Finding the Fourth Proportional to 165.84, 248.92 and 138.68

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Solution

The fourth proportional to 165.84, 248.92 and 138.68 is: 208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 248.92 = 138.68 : x
  2. Step 2: Convert to fraction form
    165.84/248.92 = 138.68/x
  3. Step 3: Cross multiply
    165.84x = 248.92 × 138.68
  4. Step 4: Simplify right side
    165.84x = 34,520.23
  5. Step 5: Solve for x
    x = 34,520.23/165.84
  6. Step 6: Final answer
    x = 208.15

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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.