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Finding the Fourth Proportional to 222.09, 333 and 106.58

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Solution

The fourth proportional to 222.09, 333 and 106.58 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.09 : 333 = 106.58 : x
  2. Step 2: Convert to fraction form
    222.09/333 = 106.58/x
  3. Step 3: Cross multiply
    222.09x = 333 × 106.58
  4. Step 4: Simplify right side
    222.09x = 35,489.48
  5. Step 5: Solve for x
    x = 35,489.48/222.09
  6. Step 6: Final answer
    x = 159.80

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