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Finding the Fourth Proportional to 165.36, 246.90 and 147.20

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Solution

The fourth proportional to 165.36, 246.90 and 147.20 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 246.90 = 147.20 : x
  2. Step 2: Convert to fraction form
    165.36/246.90 = 147.20/x
  3. Step 3: Cross multiply
    165.36x = 246.90 × 147.20
  4. Step 4: Simplify right side
    165.36x = 36,343.68
  5. Step 5: Solve for x
    x = 36,343.68/165.36
  6. Step 6: Final answer
    x = 219.79

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