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Finding the Fourth Proportional to 165.74, 248.22 and 153.86

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Solution

The fourth proportional to 165.74, 248.22 and 153.86 is: 230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.74 : 248.22 = 153.86 : x
  2. Step 2: Convert to fraction form
    165.74/248.22 = 153.86/x
  3. Step 3: Cross multiply
    165.74x = 248.22 × 153.86
  4. Step 4: Simplify right side
    165.74x = 38,191.13
  5. Step 5: Solve for x
    x = 38,191.13/165.74
  6. Step 6: Final answer
    x = 230.43

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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.