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Finding the Fourth Proportional to 222.59, 333.77 and 106.97

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Solution

The fourth proportional to 222.59, 333.77 and 106.97 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.59 : 333.77 = 106.97 : x
  2. Step 2: Convert to fraction form
    222.59/333.77 = 106.97/x
  3. Step 3: Cross multiply
    222.59x = 333.77 × 106.97
  4. Step 4: Simplify right side
    222.59x = 35,701.17
  5. Step 5: Solve for x
    x = 35,701.17/222.59
  6. Step 6: Final answer
    x = 160.39

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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.