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Finding the Fourth Proportional to 205.02, 281.25 and 192.60

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Solution

The fourth proportional to 205.02, 281.25 and 192.60 is: 264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 281.25 = 192.60 : x
  2. Step 2: Convert to fraction form
    205.02/281.25 = 192.60/x
  3. Step 3: Cross multiply
    205.02x = 281.25 × 192.60
  4. Step 4: Simplify right side
    205.02x = 54,168.75
  5. Step 5: Solve for x
    x = 54,168.75/205.02
  6. Step 6: Final answer
    x = 264.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.