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Finding the Fourth Proportional to 297.63, 445.89 and 173.94

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Solution

The fourth proportional to 297.63, 445.89 and 173.94 is: 260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.63 : 445.89 = 173.94 : x
  2. Step 2: Convert to fraction form
    297.63/445.89 = 173.94/x
  3. Step 3: Cross multiply
    297.63x = 445.89 × 173.94
  4. Step 4: Simplify right side
    297.63x = 77,558.11
  5. Step 5: Solve for x
    x = 77,558.11/297.63
  6. Step 6: Final answer
    x = 260.59

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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.