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Finding the Fourth Proportional to 298.96, 447.81 and 177.16

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Solution

The fourth proportional to 298.96, 447.81 and 177.16 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 447.81 = 177.16 : x
  2. Step 2: Convert to fraction form
    298.96/447.81 = 177.16/x
  3. Step 3: Cross multiply
    298.96x = 447.81 × 177.16
  4. Step 4: Simplify right side
    298.96x = 79,334.02
  5. Step 5: Solve for x
    x = 79,334.02/298.96
  6. Step 6: Final answer
    x = 265.37

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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.