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Finding the Fourth Proportional to 298.12, 447 and 176.26

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Solution

The fourth proportional to 298.12, 447 and 176.26 is: 264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.12 : 447 = 176.26 : x
  2. Step 2: Convert to fraction form
    298.12/447 = 176.26/x
  3. Step 3: Cross multiply
    298.12x = 447 × 176.26
  4. Step 4: Simplify right side
    298.12x = 78,788.22
  5. Step 5: Solve for x
    x = 78,788.22/298.12
  6. Step 6: Final answer
    x = 264.28

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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.