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Finding the Fourth Proportional to 297.84, 447 and 115.32

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Solution

The fourth proportional to 297.84, 447 and 115.32 is: 173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 447 = 115.32 : x
  2. Step 2: Convert to fraction form
    297.84/447 = 115.32/x
  3. Step 3: Cross multiply
    297.84x = 447 × 115.32
  4. Step 4: Simplify right side
    297.84x = 51,548.04
  5. Step 5: Solve for x
    x = 51,548.04/297.84
  6. Step 6: Final answer
    x = 173.07

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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.