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Finding the Fourth Proportional to 299.96, 450.01 and 145.96

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Solution

The fourth proportional to 299.96, 450.01 and 145.96 is: 218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 450.01 = 145.96 : x
  2. Step 2: Convert to fraction form
    299.96/450.01 = 145.96/x
  3. Step 3: Cross multiply
    299.96x = 450.01 × 145.96
  4. Step 4: Simplify right side
    299.96x = 65,683.46
  5. Step 5: Solve for x
    x = 65,683.46/299.96
  6. Step 6: Final answer
    x = 218.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.