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Finding the Fourth Proportional to 299.71, 449.10 and 177.82

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Solution

The fourth proportional to 299.71, 449.10 and 177.82 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.71 : 449.10 = 177.82 : x
  2. Step 2: Convert to fraction form
    299.71/449.10 = 177.82/x
  3. Step 3: Cross multiply
    299.71x = 449.10 × 177.82
  4. Step 4: Simplify right side
    299.71x = 79,858.96
  5. Step 5: Solve for x
    x = 79,858.96/299.71
  6. Step 6: Final answer
    x = 266.45

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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.