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Finding the Fourth Proportional to 222.77, 335.38 and 184.83

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Solution

The fourth proportional to 222.77, 335.38 and 184.83 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.77 : 335.38 = 184.83 : x
  2. Step 2: Convert to fraction form
    222.77/335.38 = 184.83/x
  3. Step 3: Cross multiply
    222.77x = 335.38 × 184.83
  4. Step 4: Simplify right side
    222.77x = 61,987.82
  5. Step 5: Solve for x
    x = 61,987.82/222.77
  6. Step 6: Final answer
    x = 278.27

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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.