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Finding the Fourth Proportional to 298.76, 412.43 and 200.67

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Solution

The fourth proportional to 298.76, 412.43 and 200.67 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.76 : 412.43 = 200.67 : x
  2. Step 2: Convert to fraction form
    298.76/412.43 = 200.67/x
  3. Step 3: Cross multiply
    298.76x = 412.43 × 200.67
  4. Step 4: Simplify right side
    298.76x = 82,761.32
  5. Step 5: Solve for x
    x = 82,761.32/298.76
  6. Step 6: Final answer
    x = 277.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.