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Finding the Fourth Proportional to 222.12, 306.50 and 128.87

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Solution

The fourth proportional to 222.12, 306.50 and 128.87 is: 177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 306.50 = 128.87 : x
  2. Step 2: Convert to fraction form
    222.12/306.50 = 128.87/x
  3. Step 3: Cross multiply
    222.12x = 306.50 × 128.87
  4. Step 4: Simplify right side
    222.12x = 39,496.48
  5. Step 5: Solve for x
    x = 39,496.48/222.12
  6. Step 6: Final answer
    x = 177.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.