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Finding the Fourth Proportional to 222.55, 335.34 and 182.86

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Solution

The fourth proportional to 222.55, 335.34 and 182.86 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.55 : 335.34 = 182.86 : x
  2. Step 2: Convert to fraction form
    222.55/335.34 = 182.86/x
  3. Step 3: Cross multiply
    222.55x = 335.34 × 182.86
  4. Step 4: Simplify right side
    222.55x = 61,319.43
  5. Step 5: Solve for x
    x = 61,319.43/222.55
  6. Step 6: Final answer
    x = 275.53

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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.