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Finding the Fourth Proportional to 222.75, 332.71 and 188.12

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Solution

The fourth proportional to 222.75, 332.71 and 188.12 is: 280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.75 : 332.71 = 188.12 : x
  2. Step 2: Convert to fraction form
    222.75/332.71 = 188.12/x
  3. Step 3: Cross multiply
    222.75x = 332.71 × 188.12
  4. Step 4: Simplify right side
    222.75x = 62,589.77
  5. Step 5: Solve for x
    x = 62,589.77/222.75
  6. Step 6: Final answer
    x = 280.99

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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.