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Finding the Fourth Proportional to 543.57, 815.13 and 196.81

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Solution

The fourth proportional to 543.57, 815.13 and 196.81 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 815.13 = 196.81 : x
  2. Step 2: Convert to fraction form
    543.57/815.13 = 196.81/x
  3. Step 3: Cross multiply
    543.57x = 815.13 × 196.81
  4. Step 4: Simplify right side
    543.57x = 160,423.70
  5. Step 5: Solve for x
    x = 160,423.70/543.57
  6. Step 6: Final answer
    x = 295.13

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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.