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Finding the Fourth Proportional to 299.54, 448.58 and 177.44

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Solution

The fourth proportional to 299.54, 448.58 and 177.44 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 448.58 = 177.44 : x
  2. Step 2: Convert to fraction form
    299.54/448.58 = 177.44/x
  3. Step 3: Cross multiply
    299.54x = 448.58 × 177.44
  4. Step 4: Simplify right side
    299.54x = 79,592.91
  5. Step 5: Solve for x
    x = 79,592.91/299.54
  6. Step 6: Final answer
    x = 265.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.