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Finding the Fourth Proportional to 298.98, 412.74 and 200.82

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Solution

The fourth proportional to 298.98, 412.74 and 200.82 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.74 = 200.82 : x
  2. Step 2: Convert to fraction form
    298.98/412.74 = 200.82/x
  3. Step 3: Cross multiply
    298.98x = 412.74 × 200.82
  4. Step 4: Simplify right side
    298.98x = 82,886.45
  5. Step 5: Solve for x
    x = 82,886.45/298.98
  6. Step 6: Final answer
    x = 277.23

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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.