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Finding the Fourth Proportional to 230.08, 344.64 and 220

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Solution

The fourth proportional to 230.08, 344.64 and 220 is: 329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.08 : 344.64 = 220 : x
  2. Step 2: Convert to fraction form
    230.08/344.64 = 220/x
  3. Step 3: Cross multiply
    230.08x = 344.64 × 220
  4. Step 4: Simplify right side
    230.08x = 75,820.80
  5. Step 5: Solve for x
    x = 75,820.80/230.08
  6. Step 6: Final answer
    x = 329.54

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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.