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Finding the Fourth Proportional to 299.40, 448.40 and 207.84

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Solution

The fourth proportional to 299.40, 448.40 and 207.84 is: 311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.40 : 448.40 = 207.84 : x
  2. Step 2: Convert to fraction form
    299.40/448.40 = 207.84/x
  3. Step 3: Cross multiply
    299.40x = 448.40 × 207.84
  4. Step 4: Simplify right side
    299.40x = 93,195.46
  5. Step 5: Solve for x
    x = 93,195.46/299.40
  6. Step 6: Final answer
    x = 311.27

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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.