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Finding the Fourth Proportional to 222.38, 332.21 and 185.93

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Solution

The fourth proportional to 222.38, 332.21 and 185.93 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.38 : 332.21 = 185.93 : x
  2. Step 2: Convert to fraction form
    222.38/332.21 = 185.93/x
  3. Step 3: Cross multiply
    222.38x = 332.21 × 185.93
  4. Step 4: Simplify right side
    222.38x = 61,766.61
  5. Step 5: Solve for x
    x = 61,766.61/222.38
  6. Step 6: Final answer
    x = 277.76

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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.