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Finding the Fourth Proportional to 299.26, 448.94 and 177.46

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Solution

The fourth proportional to 299.26, 448.94 and 177.46 is: 266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 448.94 = 177.46 : x
  2. Step 2: Convert to fraction form
    299.26/448.94 = 177.46/x
  3. Step 3: Cross multiply
    299.26x = 448.94 × 177.46
  4. Step 4: Simplify right side
    299.26x = 79,668.89
  5. Step 5: Solve for x
    x = 79,668.89/299.26
  6. Step 6: Final answer
    x = 266.22

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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.