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Finding the Fourth Proportional to 165.89, 248.48 and 104.87

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Solution

The fourth proportional to 165.89, 248.48 and 104.87 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 248.48 = 104.87 : x
  2. Step 2: Convert to fraction form
    165.89/248.48 = 104.87/x
  3. Step 3: Cross multiply
    165.89x = 248.48 × 104.87
  4. Step 4: Simplify right side
    165.89x = 26,057.57
  5. Step 5: Solve for x
    x = 26,057.57/165.89
  6. Step 6: Final answer
    x = 157.08

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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.