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Finding the Fourth Proportional to 222.60, 335.43 and 184.94

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Solution

The fourth proportional to 222.60, 335.43 and 184.94 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.60 : 335.43 = 184.94 : x
  2. Step 2: Convert to fraction form
    222.60/335.43 = 184.94/x
  3. Step 3: Cross multiply
    222.60x = 335.43 × 184.94
  4. Step 4: Simplify right side
    222.60x = 62,034.42
  5. Step 5: Solve for x
    x = 62,034.42/222.60
  6. Step 6: Final answer
    x = 278.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.