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Finding the Fourth Proportional to 230.95, 346.07 and 213.84

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Solution

The fourth proportional to 230.95, 346.07 and 213.84 is: 320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 346.07 = 213.84 : x
  2. Step 2: Convert to fraction form
    230.95/346.07 = 213.84/x
  3. Step 3: Cross multiply
    230.95x = 346.07 × 213.84
  4. Step 4: Simplify right side
    230.95x = 74,004.14
  5. Step 5: Solve for x
    x = 74,004.14/230.95
  6. Step 6: Final answer
    x = 320.43

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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.