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Finding the Fourth Proportional to 297.64, 445.75 and 175.53

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Solution

The fourth proportional to 297.64, 445.75 and 175.53 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 445.75 = 175.53 : x
  2. Step 2: Convert to fraction form
    297.64/445.75 = 175.53/x
  3. Step 3: Cross multiply
    297.64x = 445.75 × 175.53
  4. Step 4: Simplify right side
    297.64x = 78,244.72
  5. Step 5: Solve for x
    x = 78,244.72/297.64
  6. Step 6: Final answer
    x = 262.88

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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.