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Finding the Fourth Proportional to 222.93, 308.33 and 199.58

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Solution

The fourth proportional to 222.93, 308.33 and 199.58 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.93 : 308.33 = 199.58 : x
  2. Step 2: Convert to fraction form
    222.93/308.33 = 199.58/x
  3. Step 3: Cross multiply
    222.93x = 308.33 × 199.58
  4. Step 4: Simplify right side
    222.93x = 61,533.96
  5. Step 5: Solve for x
    x = 61,533.96/222.93
  6. Step 6: Final answer
    x = 276.02

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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.