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Finding the Fourth Proportional to 222.12, 332.94 and 100.35

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Solution

The fourth proportional to 222.12, 332.94 and 100.35 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 332.94 = 100.35 : x
  2. Step 2: Convert to fraction form
    222.12/332.94 = 100.35/x
  3. Step 3: Cross multiply
    222.12x = 332.94 × 100.35
  4. Step 4: Simplify right side
    222.12x = 33,410.53
  5. Step 5: Solve for x
    x = 33,410.53/222.12
  6. Step 6: Final answer
    x = 150.42

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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.