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Finding the Fourth Proportional to 299.46, 449.31 and 162.35

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Solution

The fourth proportional to 299.46, 449.31 and 162.35 is: 243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 449.31 = 162.35 : x
  2. Step 2: Convert to fraction form
    299.46/449.31 = 162.35/x
  3. Step 3: Cross multiply
    299.46x = 449.31 × 162.35
  4. Step 4: Simplify right side
    299.46x = 72,943.23
  5. Step 5: Solve for x
    x = 72,943.23/299.46
  6. Step 6: Final answer
    x = 243.58

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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.