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Finding the Fourth Proportional to 299.93, 450.02 and 145.98

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Solution

The fourth proportional to 299.93, 450.02 and 145.98 is: 219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.93 : 450.02 = 145.98 : x
  2. Step 2: Convert to fraction form
    299.93/450.02 = 145.98/x
  3. Step 3: Cross multiply
    299.93x = 450.02 × 145.98
  4. Step 4: Simplify right side
    299.93x = 65,693.19
  5. Step 5: Solve for x
    x = 65,693.19/299.93
  6. Step 6: Final answer
    x = 219.03

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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.