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Finding the Fourth Proportional to 195.06, 268.92 and 165.48

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Solution

The fourth proportional to 195.06, 268.92 and 165.48 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 268.92 = 165.48 : x
  2. Step 2: Convert to fraction form
    195.06/268.92 = 165.48/x
  3. Step 3: Cross multiply
    195.06x = 268.92 × 165.48
  4. Step 4: Simplify right side
    195.06x = 44,500.88
  5. Step 5: Solve for x
    x = 44,500.88/195.06
  6. Step 6: Final answer
    x = 228.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.