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Finding the Fourth Proportional to 222.76, 334.34 and 141.80

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Solution

The fourth proportional to 222.76, 334.34 and 141.80 is: 212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.76 : 334.34 = 141.80 : x
  2. Step 2: Convert to fraction form
    222.76/334.34 = 141.80/x
  3. Step 3: Cross multiply
    222.76x = 334.34 × 141.80
  4. Step 4: Simplify right side
    222.76x = 47,409.41
  5. Step 5: Solve for x
    x = 47,409.41/222.76
  6. Step 6: Final answer
    x = 212.83

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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.