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Finding the Fourth Proportional to 299.40, 448.38 and 202.92

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Solution

The fourth proportional to 299.40, 448.38 and 202.92 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 448.38 = 202.92 : x
  2. Step 2: Convert to fraction form
    299.40/448.38 = 202.92/x
  3. Step 3: Cross multiply
    299.40x = 448.38 × 202.92
  4. Step 4: Simplify right side
    299.40x = 90,985.27
  5. Step 5: Solve for x
    x = 90,985.27/299.40
  6. Step 6: Final answer
    x = 303.89

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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.