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Finding the Fourth Proportional to 230.83, 345.93 and 194.49

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Solution

The fourth proportional to 230.83, 345.93 and 194.49 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.83 : 345.93 = 194.49 : x
  2. Step 2: Convert to fraction form
    230.83/345.93 = 194.49/x
  3. Step 3: Cross multiply
    230.83x = 345.93 × 194.49
  4. Step 4: Simplify right side
    230.83x = 67,282.27
  5. Step 5: Solve for x
    x = 67,282.27/230.83
  6. Step 6: Final answer
    x = 291.48

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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.