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Finding the Fourth Proportional to 299.32, 448.99 and 160.58

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Solution

The fourth proportional to 299.32, 448.99 and 160.58 is: 240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 448.99 = 160.58 : x
  2. Step 2: Convert to fraction form
    299.32/448.99 = 160.58/x
  3. Step 3: Cross multiply
    299.32x = 448.99 × 160.58
  4. Step 4: Simplify right side
    299.32x = 72,099.54
  5. Step 5: Solve for x
    x = 72,099.54/299.32
  6. Step 6: Final answer
    x = 240.88

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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.