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Finding the Fourth Proportional to 222.28, 333.14 and 100.52

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Solution

The fourth proportional to 222.28, 333.14 and 100.52 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 333.14 = 100.52 : x
  2. Step 2: Convert to fraction form
    222.28/333.14 = 100.52/x
  3. Step 3: Cross multiply
    222.28x = 333.14 × 100.52
  4. Step 4: Simplify right side
    222.28x = 33,487.23
  5. Step 5: Solve for x
    x = 33,487.23/222.28
  6. Step 6: Final answer
    x = 150.65

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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.