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Finding the Fourth Proportional to 195.75, 269.53 and 166.19

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Solution

The fourth proportional to 195.75, 269.53 and 166.19 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 269.53 = 166.19 : x
  2. Step 2: Convert to fraction form
    195.75/269.53 = 166.19/x
  3. Step 3: Cross multiply
    195.75x = 269.53 × 166.19
  4. Step 4: Simplify right side
    195.75x = 44,792.02
  5. Step 5: Solve for x
    x = 44,792.02/195.75
  6. Step 6: Final answer
    x = 228.82

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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.