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Finding the Fourth Proportional to 222.98, 308.95 and 219.47

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Solution

The fourth proportional to 222.98, 308.95 and 219.47 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.98 : 308.95 = 219.47 : x
  2. Step 2: Convert to fraction form
    222.98/308.95 = 219.47/x
  3. Step 3: Cross multiply
    222.98x = 308.95 × 219.47
  4. Step 4: Simplify right side
    222.98x = 67,804.16
  5. Step 5: Solve for x
    x = 67,804.16/222.98
  6. Step 6: Final answer
    x = 304.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.