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Finding the Fourth Proportional to 165.26, 248.00 and 125.03

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Solution

The fourth proportional to 165.26, 248.00 and 125.03 is: 187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.26 : 248.00 = 125.03 : x
  2. Step 2: Convert to fraction form
    165.26/248.00 = 125.03/x
  3. Step 3: Cross multiply
    165.26x = 248.00 × 125.03
  4. Step 4: Simplify right side
    165.26x = 31,007.43
  5. Step 5: Solve for x
    x = 31,007.43/165.26
  6. Step 6: Final answer
    x = 187.63

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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.