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Finding the Fourth Proportional to 299.65, 449.01 and 177.78

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Solution

The fourth proportional to 299.65, 449.01 and 177.78 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.65 : 449.01 = 177.78 : x
  2. Step 2: Convert to fraction form
    299.65/449.01 = 177.78/x
  3. Step 3: Cross multiply
    299.65x = 449.01 × 177.78
  4. Step 4: Simplify right side
    299.65x = 79,825.00
  5. Step 5: Solve for x
    x = 79,825.00/299.65
  6. Step 6: Final answer
    x = 266.39

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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.