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Finding the Fourth Proportional to 543.43, 814.95 and 196.67

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Solution

The fourth proportional to 543.43, 814.95 and 196.67 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.43 : 814.95 = 196.67 : x
  2. Step 2: Convert to fraction form
    543.43/814.95 = 196.67/x
  3. Step 3: Cross multiply
    543.43x = 814.95 × 196.67
  4. Step 4: Simplify right side
    543.43x = 160,276.22
  5. Step 5: Solve for x
    x = 160,276.22/543.43
  6. Step 6: Final answer
    x = 294.93

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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.