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Finding the Fourth Proportional to 203.40, 281.99 and 192.45

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Solution

The fourth proportional to 203.40, 281.99 and 192.45 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 281.99 = 192.45 : x
  2. Step 2: Convert to fraction form
    203.40/281.99 = 192.45/x
  3. Step 3: Cross multiply
    203.40x = 281.99 × 192.45
  4. Step 4: Simplify right side
    203.40x = 54,268.01
  5. Step 5: Solve for x
    x = 54,268.01/203.40
  6. Step 6: Final answer
    x = 266.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.