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Finding the Fourth Proportional to 299.34, 449.37 and 177.74

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Solution

The fourth proportional to 299.34, 449.37 and 177.74 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.34 : 449.37 = 177.74 : x
  2. Step 2: Convert to fraction form
    299.34/449.37 = 177.74/x
  3. Step 3: Cross multiply
    299.34x = 449.37 × 177.74
  4. Step 4: Simplify right side
    299.34x = 79,871.02
  5. Step 5: Solve for x
    x = 79,871.02/299.34
  6. Step 6: Final answer
    x = 266.82

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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.