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Finding the Fourth Proportional to 298.21, 447.36 and 177.25

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Solution

The fourth proportional to 298.21, 447.36 and 177.25 is: 265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.21 : 447.36 = 177.25 : x
  2. Step 2: Convert to fraction form
    298.21/447.36 = 177.25/x
  3. Step 3: Cross multiply
    298.21x = 447.36 × 177.25
  4. Step 4: Simplify right side
    298.21x = 79,294.56
  5. Step 5: Solve for x
    x = 79,294.56/298.21
  6. Step 6: Final answer
    x = 265.90

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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.