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Finding the Fourth Proportional to 165.21, 246.33 and 139.68

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Solution

The fourth proportional to 165.21, 246.33 and 139.68 is: 208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.21 : 246.33 = 139.68 : x
  2. Step 2: Convert to fraction form
    165.21/246.33 = 139.68/x
  3. Step 3: Cross multiply
    165.21x = 246.33 × 139.68
  4. Step 4: Simplify right side
    165.21x = 34,407.37
  5. Step 5: Solve for x
    x = 34,407.37/165.21
  6. Step 6: Final answer
    x = 208.26

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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.