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Finding the Fourth Proportional to 299.17, 447.54 and 229.93

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Solution

The fourth proportional to 299.17, 447.54 and 229.93 is: 343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.17 : 447.54 = 229.93 : x
  2. Step 2: Convert to fraction form
    299.17/447.54 = 229.93/x
  3. Step 3: Cross multiply
    299.17x = 447.54 × 229.93
  4. Step 4: Simplify right side
    299.17x = 102,902.87
  5. Step 5: Solve for x
    x = 102,902.87/299.17
  6. Step 6: Final answer
    x = 343.96

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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.