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Finding the Fourth Proportional to 205.53, 283.12 and 192.77

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Solution

The fourth proportional to 205.53, 283.12 and 192.77 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 283.12 = 192.77 : x
  2. Step 2: Convert to fraction form
    205.53/283.12 = 192.77/x
  3. Step 3: Cross multiply
    205.53x = 283.12 × 192.77
  4. Step 4: Simplify right side
    205.53x = 54,577.04
  5. Step 5: Solve for x
    x = 54,577.04/205.53
  6. Step 6: Final answer
    x = 265.54

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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.