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Finding the Fourth Proportional to 230.34, 318.33 and 205.74

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Solution

The fourth proportional to 230.34, 318.33 and 205.74 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.34 : 318.33 = 205.74 : x
  2. Step 2: Convert to fraction form
    230.34/318.33 = 205.74/x
  3. Step 3: Cross multiply
    230.34x = 318.33 × 205.74
  4. Step 4: Simplify right side
    230.34x = 65,493.21
  5. Step 5: Solve for x
    x = 65,493.21/230.34
  6. Step 6: Final answer
    x = 284.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.