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Finding the Fourth Proportional to 227.06, 312.40 and 200.37

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Solution

The fourth proportional to 227.06, 312.40 and 200.37 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.06 : 312.40 = 200.37 : x
  2. Step 2: Convert to fraction form
    227.06/312.40 = 200.37/x
  3. Step 3: Cross multiply
    227.06x = 312.40 × 200.37
  4. Step 4: Simplify right side
    227.06x = 62,595.38
  5. Step 5: Solve for x
    x = 62,595.38/227.06
  6. Step 6: Final answer
    x = 275.67

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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.