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Finding the Fourth Proportional to 299.80, 450.01 and 228.12

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Solution

The fourth proportional to 299.80, 450.01 and 228.12 is: 342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 450.01 = 228.12 : x
  2. Step 2: Convert to fraction form
    299.80/450.01 = 228.12/x
  3. Step 3: Cross multiply
    299.80x = 450.01 × 228.12
  4. Step 4: Simplify right side
    299.80x = 102,653.60
  5. Step 5: Solve for x
    x = 102,653.60/299.80
  6. Step 6: Final answer
    x = 342.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.