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Finding the Fourth Proportional to 222.42, 332.66 and 160.86

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Solution

The fourth proportional to 222.42, 332.66 and 160.86 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.42 : 332.66 = 160.86 : x
  2. Step 2: Convert to fraction form
    222.42/332.66 = 160.86/x
  3. Step 3: Cross multiply
    222.42x = 332.66 × 160.86
  4. Step 4: Simplify right side
    222.42x = 53,511.69
  5. Step 5: Solve for x
    x = 53,511.69/222.42
  6. Step 6: Final answer
    x = 240.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.