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Finding the Fourth Proportional to 230.23, 344.80 and 214.03

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Solution

The fourth proportional to 230.23, 344.80 and 214.03 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.23 : 344.80 = 214.03 : x
  2. Step 2: Convert to fraction form
    230.23/344.80 = 214.03/x
  3. Step 3: Cross multiply
    230.23x = 344.80 × 214.03
  4. Step 4: Simplify right side
    230.23x = 73,794.75
  5. Step 5: Solve for x
    x = 73,794.75/230.23
  6. Step 6: Final answer
    x = 320.53

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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.