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Finding the Fourth Proportional to 357.89, 493.91 and 200.54

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Solution

The fourth proportional to 357.89, 493.91 and 200.54 is: 276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.89 : 493.91 = 200.54 : x
  2. Step 2: Convert to fraction form
    357.89/493.91 = 200.54/x
  3. Step 3: Cross multiply
    357.89x = 493.91 × 200.54
  4. Step 4: Simplify right side
    357.89x = 99,047.98
  5. Step 5: Solve for x
    x = 99,047.98/357.89
  6. Step 6: Final answer
    x = 276.76

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