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Finding the Fourth Proportional to 165.20, 247.14 and 139.23

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Solution

The fourth proportional to 165.20, 247.14 and 139.23 is: 208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.20 : 247.14 = 139.23 : x
  2. Step 2: Convert to fraction form
    165.20/247.14 = 139.23/x
  3. Step 3: Cross multiply
    165.20x = 247.14 × 139.23
  4. Step 4: Simplify right side
    165.20x = 34,409.30
  5. Step 5: Solve for x
    x = 34,409.30/165.20
  6. Step 6: Final answer
    x = 208.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.