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Finding the Fourth Proportional to 357.97, 493.93 and 200.59

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Solution

The fourth proportional to 357.97, 493.93 and 200.59 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.97 : 493.93 = 200.59 : x
  2. Step 2: Convert to fraction form
    357.97/493.93 = 200.59/x
  3. Step 3: Cross multiply
    357.97x = 493.93 × 200.59
  4. Step 4: Simplify right side
    357.97x = 99,077.42
  5. Step 5: Solve for x
    x = 99,077.42/357.97
  6. Step 6: Final answer
    x = 276.78

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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.