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Finding the Fourth Proportional to 222.78, 332.30 and 194.16

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Solution

The fourth proportional to 222.78, 332.30 and 194.16 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.78 : 332.30 = 194.16 : x
  2. Step 2: Convert to fraction form
    222.78/332.30 = 194.16/x
  3. Step 3: Cross multiply
    222.78x = 332.30 × 194.16
  4. Step 4: Simplify right side
    222.78x = 64,519.37
  5. Step 5: Solve for x
    x = 64,519.37/222.78
  6. Step 6: Final answer
    x = 289.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.