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Finding the Fourth Proportional to 299.61, 449.34 and 134.99

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Solution

The fourth proportional to 299.61, 449.34 and 134.99 is: 202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 449.34 = 134.99 : x
  2. Step 2: Convert to fraction form
    299.61/449.34 = 134.99/x
  3. Step 3: Cross multiply
    299.61x = 449.34 × 134.99
  4. Step 4: Simplify right side
    299.61x = 60,655.34
  5. Step 5: Solve for x
    x = 60,655.34/299.61
  6. Step 6: Final answer
    x = 202.45

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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.