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Finding the Fourth Proportional to 357.80, 493.76 and 198.29

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Solution

The fourth proportional to 357.80, 493.76 and 198.29 is: 273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 493.76 = 198.29 : x
  2. Step 2: Convert to fraction form
    357.80/493.76 = 198.29/x
  3. Step 3: Cross multiply
    357.80x = 493.76 × 198.29
  4. Step 4: Simplify right side
    357.80x = 97,905.20
  5. Step 5: Solve for x
    x = 97,905.20/357.80
  6. Step 6: Final answer
    x = 273.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.