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Finding the Fourth Proportional to 170, 253.84 and 139.49

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Solution

The fourth proportional to 170, 253.84 and 139.49 is: 208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170 : 253.84 = 139.49 : x
  2. Step 2: Convert to fraction form
    170/253.84 = 139.49/x
  3. Step 3: Cross multiply
    170x = 253.84 × 139.49
  4. Step 4: Simplify right side
    170x = 35,408.14
  5. Step 5: Solve for x
    x = 35,408.14/170
  6. Step 6: Final answer
    x = 208.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.