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Finding the Fourth Proportional to 205.67, 283.51 and 170.65

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Solution

The fourth proportional to 205.67, 283.51 and 170.65 is: 235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.67 : 283.51 = 170.65 : x
  2. Step 2: Convert to fraction form
    205.67/283.51 = 170.65/x
  3. Step 3: Cross multiply
    205.67x = 283.51 × 170.65
  4. Step 4: Simplify right side
    205.67x = 48,380.98
  5. Step 5: Solve for x
    x = 48,380.98/205.67
  6. Step 6: Final answer
    x = 235.24

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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.