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Finding the Fourth Proportional to 299.92, 450.15 and 218.38

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Solution

The fourth proportional to 299.92, 450.15 and 218.38 is: 327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 450.15 = 218.38 : x
  2. Step 2: Convert to fraction form
    299.92/450.15 = 218.38/x
  3. Step 3: Cross multiply
    299.92x = 450.15 × 218.38
  4. Step 4: Simplify right side
    299.92x = 98,303.76
  5. Step 5: Solve for x
    x = 98,303.76/299.92
  6. Step 6: Final answer
    x = 327.77

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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.