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Finding the Fourth Proportional to 807.98, 1,211.93 and 222.98

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Solution

The fourth proportional to 807.98, 1,211.93 and 222.98 is: 334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.98 : 1,211.93 = 222.98 : x
  2. Step 2: Convert to fraction form
    807.98/1,211.93 = 222.98/x
  3. Step 3: Cross multiply
    807.98x = 1,211.93 × 222.98
  4. Step 4: Simplify right side
    807.98x = 270,228.98
  5. Step 5: Solve for x
    x = 270,228.98/807.98
  6. Step 6: Final answer
    x = 334.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.