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Finding the Fourth Proportional to 227.88, 313.74 and 200.34

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Solution

The fourth proportional to 227.88, 313.74 and 200.34 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.88 : 313.74 = 200.34 : x
  2. Step 2: Convert to fraction form
    227.88/313.74 = 200.34/x
  3. Step 3: Cross multiply
    227.88x = 313.74 × 200.34
  4. Step 4: Simplify right side
    227.88x = 62,854.67
  5. Step 5: Solve for x
    x = 62,854.67/227.88
  6. Step 6: Final answer
    x = 275.82

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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.