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Finding the Fourth Proportional to 222.59, 332.38 and 182.09

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Solution

The fourth proportional to 222.59, 332.38 and 182.09 is: 271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.59 : 332.38 = 182.09 : x
  2. Step 2: Convert to fraction form
    222.59/332.38 = 182.09/x
  3. Step 3: Cross multiply
    222.59x = 332.38 × 182.09
  4. Step 4: Simplify right side
    222.59x = 60,523.07
  5. Step 5: Solve for x
    x = 60,523.07/222.59
  6. Step 6: Final answer
    x = 271.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.