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Finding the Fourth Proportional to 299.73, 448.76 and 153.16

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Solution

The fourth proportional to 299.73, 448.76 and 153.16 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.73 : 448.76 = 153.16 : x
  2. Step 2: Convert to fraction form
    299.73/448.76 = 153.16/x
  3. Step 3: Cross multiply
    299.73x = 448.76 × 153.16
  4. Step 4: Simplify right side
    299.73x = 68,731.88
  5. Step 5: Solve for x
    x = 68,731.88/299.73
  6. Step 6: Final answer
    x = 229.32

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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.