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Finding the Fourth Proportional to 546.15, 819.58 and 199.45

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Solution

The fourth proportional to 546.15, 819.58 and 199.45 is: 299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.15 : 819.58 = 199.45 : x
  2. Step 2: Convert to fraction form
    546.15/819.58 = 199.45/x
  3. Step 3: Cross multiply
    546.15x = 819.58 × 199.45
  4. Step 4: Simplify right side
    546.15x = 163,465.23
  5. Step 5: Solve for x
    x = 163,465.23/546.15
  6. Step 6: Final answer
    x = 299.30

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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.