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Finding the Fourth Proportional to 230.88, 344.41 and 206.58

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Solution

The fourth proportional to 230.88, 344.41 and 206.58 is: 308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.88 : 344.41 = 206.58 : x
  2. Step 2: Convert to fraction form
    230.88/344.41 = 206.58/x
  3. Step 3: Cross multiply
    230.88x = 344.41 × 206.58
  4. Step 4: Simplify right side
    230.88x = 71,148.22
  5. Step 5: Solve for x
    x = 71,148.22/230.88
  6. Step 6: Final answer
    x = 308.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.