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Finding the Fourth Proportional to 297.84, 445.99 and 160.93

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Solution

The fourth proportional to 297.84, 445.99 and 160.93 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.84 : 445.99 = 160.93 : x
  2. Step 2: Convert to fraction form
    297.84/445.99 = 160.93/x
  3. Step 3: Cross multiply
    297.84x = 445.99 × 160.93
  4. Step 4: Simplify right side
    297.84x = 71,771.65
  5. Step 5: Solve for x
    x = 71,771.65/297.84
  6. Step 6: Final answer
    x = 240.97

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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.