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Finding the Fourth Proportional to 297.30, 444.92 and 175.64

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Solution

The fourth proportional to 297.30, 444.92 and 175.64 is: 262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 444.92 = 175.64 : x
  2. Step 2: Convert to fraction form
    297.30/444.92 = 175.64/x
  3. Step 3: Cross multiply
    297.30x = 444.92 × 175.64
  4. Step 4: Simplify right side
    297.30x = 78,146.89
  5. Step 5: Solve for x
    x = 78,146.89/297.30
  6. Step 6: Final answer
    x = 262.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.