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Finding the Fourth Proportional to 165.89, 249.19 and 140.26

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Solution

The fourth proportional to 165.89, 249.19 and 140.26 is: 210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 249.19 = 140.26 : x
  2. Step 2: Convert to fraction form
    165.89/249.19 = 140.26/x
  3. Step 3: Cross multiply
    165.89x = 249.19 × 140.26
  4. Step 4: Simplify right side
    165.89x = 34,950.42
  5. Step 5: Solve for x
    x = 34,950.42/165.89
  6. Step 6: Final answer
    x = 210.69

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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.