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Finding the Fourth Proportional to 297.72, 445.91 and 174.15

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Solution

The fourth proportional to 297.72, 445.91 and 174.15 is: 260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 445.91 = 174.15 : x
  2. Step 2: Convert to fraction form
    297.72/445.91 = 174.15/x
  3. Step 3: Cross multiply
    297.72x = 445.91 × 174.15
  4. Step 4: Simplify right side
    297.72x = 77,654.36
  5. Step 5: Solve for x
    x = 77,654.36/297.72
  6. Step 6: Final answer
    x = 260.83

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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.