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Finding the Fourth Proportional to 228.42, 342.36 and 220.86

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Solution

The fourth proportional to 228.42, 342.36 and 220.86 is: 331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 342.36 = 220.86 : x
  2. Step 2: Convert to fraction form
    228.42/342.36 = 220.86/x
  3. Step 3: Cross multiply
    228.42x = 342.36 × 220.86
  4. Step 4: Simplify right side
    228.42x = 75,613.63
  5. Step 5: Solve for x
    x = 75,613.63/228.42
  6. Step 6: Final answer
    x = 331.03

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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.