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Finding the Fourth Proportional to 333.62, 501.38 and 196.69

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Solution

The fourth proportional to 333.62, 501.38 and 196.69 is: 295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.62 : 501.38 = 196.69 : x
  2. Step 2: Convert to fraction form
    333.62/501.38 = 196.69/x
  3. Step 3: Cross multiply
    333.62x = 501.38 × 196.69
  4. Step 4: Simplify right side
    333.62x = 98,612.94
  5. Step 5: Solve for x
    x = 98,612.94/333.62
  6. Step 6: Final answer
    x = 295.58

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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.