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Finding the Fourth Proportional to 297.44, 445.84 and 152.84

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Solution

The fourth proportional to 297.44, 445.84 and 152.84 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.44 : 445.84 = 152.84 : x
  2. Step 2: Convert to fraction form
    297.44/445.84 = 152.84/x
  3. Step 3: Cross multiply
    297.44x = 445.84 × 152.84
  4. Step 4: Simplify right side
    297.44x = 68,142.19
  5. Step 5: Solve for x
    x = 68,142.19/297.44
  6. Step 6: Final answer
    x = 229.10

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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.