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Finding the Fourth Proportional to 230.64, 344.52 and 194.22

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Solution

The fourth proportional to 230.64, 344.52 and 194.22 is: 290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 344.52 = 194.22 : x
  2. Step 2: Convert to fraction form
    230.64/344.52 = 194.22/x
  3. Step 3: Cross multiply
    230.64x = 344.52 × 194.22
  4. Step 4: Simplify right side
    230.64x = 66,912.67
  5. Step 5: Solve for x
    x = 66,912.67/230.64
  6. Step 6: Final answer
    x = 290.12

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Why These Related Problems?

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