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Finding the Fourth Proportional to 165.80, 248.25 and 114.32

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Solution

The fourth proportional to 165.80, 248.25 and 114.32 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 248.25 = 114.32 : x
  2. Step 2: Convert to fraction form
    165.80/248.25 = 114.32/x
  3. Step 3: Cross multiply
    165.80x = 248.25 × 114.32
  4. Step 4: Simplify right side
    165.80x = 28,378.95
  5. Step 5: Solve for x
    x = 28,378.95/165.80
  6. Step 6: Final answer
    x = 171.16

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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.