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Finding the Fourth Proportional to 165.66, 248.31 and 78.87

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Solution

The fourth proportional to 165.66, 248.31 and 78.87 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 248.31 = 78.87 : x
  2. Step 2: Convert to fraction form
    165.66/248.31 = 78.87/x
  3. Step 3: Cross multiply
    165.66x = 248.31 × 78.87
  4. Step 4: Simplify right side
    165.66x = 19,584.21
  5. Step 5: Solve for x
    x = 19,584.21/165.66
  6. Step 6: Final answer
    x = 118.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.