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Finding the Fourth Proportional to 299.92, 450.42 and 155.74

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Solution

The fourth proportional to 299.92, 450.42 and 155.74 is: 233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 450.42 = 155.74 : x
  2. Step 2: Convert to fraction form
    299.92/450.42 = 155.74/x
  3. Step 3: Cross multiply
    299.92x = 450.42 × 155.74
  4. Step 4: Simplify right side
    299.92x = 70,148.41
  5. Step 5: Solve for x
    x = 70,148.41/299.92
  6. Step 6: Final answer
    x = 233.89

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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.