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Finding the Fourth Proportional to 195.24, 269.40 and 165.48

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Solution

The fourth proportional to 195.24, 269.40 and 165.48 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.24 : 269.40 = 165.48 : x
  2. Step 2: Convert to fraction form
    195.24/269.40 = 165.48/x
  3. Step 3: Cross multiply
    195.24x = 269.40 × 165.48
  4. Step 4: Simplify right side
    195.24x = 44,580.31
  5. Step 5: Solve for x
    x = 44,580.31/195.24
  6. Step 6: Final answer
    x = 228.34

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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.