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Finding the Fourth Proportional to 546.23, 819.48 and 199.76

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Solution

The fourth proportional to 546.23, 819.48 and 199.76 is: 299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.23 : 819.48 = 199.76 : x
  2. Step 2: Convert to fraction form
    546.23/819.48 = 199.76/x
  3. Step 3: Cross multiply
    546.23x = 819.48 × 199.76
  4. Step 4: Simplify right side
    546.23x = 163,695.23
  5. Step 5: Solve for x
    x = 163,695.23/546.23
  6. Step 6: Final answer
    x = 299.68

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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.