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Finding the Fourth Proportional to 357.85, 493.77 and 200.48

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Solution

The fourth proportional to 357.85, 493.77 and 200.48 is: 276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.85 : 493.77 = 200.48 : x
  2. Step 2: Convert to fraction form
    357.85/493.77 = 200.48/x
  3. Step 3: Cross multiply
    357.85x = 493.77 × 200.48
  4. Step 4: Simplify right side
    357.85x = 98,992.24
  5. Step 5: Solve for x
    x = 98,992.24/357.85
  6. Step 6: Final answer
    x = 276.63

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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.