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Finding the Fourth Proportional to 165.18, 247.42 and 157.66

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Solution

The fourth proportional to 165.18, 247.42 and 157.66 is: 236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.18 : 247.42 = 157.66 : x
  2. Step 2: Convert to fraction form
    165.18/247.42 = 157.66/x
  3. Step 3: Cross multiply
    165.18x = 247.42 × 157.66
  4. Step 4: Simplify right side
    165.18x = 39,008.24
  5. Step 5: Solve for x
    x = 39,008.24/165.18
  6. Step 6: Final answer
    x = 236.16

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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.