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Finding the Fourth Proportional to 319.23, 479 and 222.03

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Solution

The fourth proportional to 319.23, 479 and 222.03 is: 333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.23 : 479 = 222.03 : x
  2. Step 2: Convert to fraction form
    319.23/479 = 222.03/x
  3. Step 3: Cross multiply
    319.23x = 479 × 222.03
  4. Step 4: Simplify right side
    319.23x = 106,352.37
  5. Step 5: Solve for x
    x = 106,352.37/319.23
  6. Step 6: Final answer
    x = 333.15

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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.