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Finding the Fourth Proportional to 165.28, 247.59 and 126.28

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Solution

The fourth proportional to 165.28, 247.59 and 126.28 is: 189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.28 : 247.59 = 126.28 : x
  2. Step 2: Convert to fraction form
    165.28/247.59 = 126.28/x
  3. Step 3: Cross multiply
    165.28x = 247.59 × 126.28
  4. Step 4: Simplify right side
    165.28x = 31,265.05
  5. Step 5: Solve for x
    x = 31,265.05/165.28
  6. Step 6: Final answer
    x = 189.17

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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.