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Finding the Fourth Proportional to 222.31, 333.36 and 76.02

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Solution

The fourth proportional to 222.31, 333.36 and 76.02 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.31 : 333.36 = 76.02 : x
  2. Step 2: Convert to fraction form
    222.31/333.36 = 76.02/x
  3. Step 3: Cross multiply
    222.31x = 333.36 × 76.02
  4. Step 4: Simplify right side
    222.31x = 25,341.67
  5. Step 5: Solve for x
    x = 25,341.67/222.31
  6. Step 6: Final answer
    x = 113.99

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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.