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Finding the Fourth Proportional to 357.99, 494.03 and 200.64

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Solution

The fourth proportional to 357.99, 494.03 and 200.64 is: 276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.99 : 494.03 = 200.64 : x
  2. Step 2: Convert to fraction form
    357.99/494.03 = 200.64/x
  3. Step 3: Cross multiply
    357.99x = 494.03 × 200.64
  4. Step 4: Simplify right side
    357.99x = 99,124.53
  5. Step 5: Solve for x
    x = 99,124.53/357.99
  6. Step 6: Final answer
    x = 276.89

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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.