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Finding the Fourth Proportional to 165.32, 248.44 and 125.24

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Solution

The fourth proportional to 165.32, 248.44 and 125.24 is: 188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 248.44 = 125.24 : x
  2. Step 2: Convert to fraction form
    165.32/248.44 = 125.24/x
  3. Step 3: Cross multiply
    165.32x = 248.44 × 125.24
  4. Step 4: Simplify right side
    165.32x = 31,114.63
  5. Step 5: Solve for x
    x = 31,114.63/165.32
  6. Step 6: Final answer
    x = 188.21

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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.