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Finding the Fourth Proportional to 222.62, 333.87 and 78.32

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Solution

The fourth proportional to 222.62, 333.87 and 78.32 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.62 : 333.87 = 78.32 : x
  2. Step 2: Convert to fraction form
    222.62/333.87 = 78.32/x
  3. Step 3: Cross multiply
    222.62x = 333.87 × 78.32
  4. Step 4: Simplify right side
    222.62x = 26,148.70
  5. Step 5: Solve for x
    x = 26,148.70/222.62
  6. Step 6: Final answer
    x = 117.46

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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.