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Finding the Fourth Proportional to 222.00, 332.78 and 83.14

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Solution

The fourth proportional to 222.00, 332.78 and 83.14 is: 124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.00 : 332.78 = 83.14 : x
  2. Step 2: Convert to fraction form
    222.00/332.78 = 83.14/x
  3. Step 3: Cross multiply
    222.00x = 332.78 × 83.14
  4. Step 4: Simplify right side
    222.00x = 27,665.67
  5. Step 5: Solve for x
    x = 27,665.67/222.00
  6. Step 6: Final answer
    x = 124.62

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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.