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Finding the Fourth Proportional to 222.24, 332.80 and 119.36

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Solution

The fourth proportional to 222.24, 332.80 and 119.36 is: 178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 332.80 = 119.36 : x
  2. Step 2: Convert to fraction form
    222.24/332.80 = 119.36/x
  3. Step 3: Cross multiply
    222.24x = 332.80 × 119.36
  4. Step 4: Simplify right side
    222.24x = 39,723.01
  5. Step 5: Solve for x
    x = 39,723.01/222.24
  6. Step 6: Final answer
    x = 178.74

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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.