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Finding the Fourth Proportional to 202.99, 281.41 and 192.60

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Solution

The fourth proportional to 202.99, 281.41 and 192.60 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 281.41 = 192.60 : x
  2. Step 2: Convert to fraction form
    202.99/281.41 = 192.60/x
  3. Step 3: Cross multiply
    202.99x = 281.41 × 192.60
  4. Step 4: Simplify right side
    202.99x = 54,199.57
  5. Step 5: Solve for x
    x = 54,199.57/202.99
  6. Step 6: Final answer
    x = 267.01

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