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Finding the Fourth Proportional to 243.73, 365.19 and 189.60

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Solution

The fourth proportional to 243.73, 365.19 and 189.60 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.73 : 365.19 = 189.60 : x
  2. Step 2: Convert to fraction form
    243.73/365.19 = 189.60/x
  3. Step 3: Cross multiply
    243.73x = 365.19 × 189.60
  4. Step 4: Simplify right side
    243.73x = 69,240.02
  5. Step 5: Solve for x
    x = 69,240.02/243.73
  6. Step 6: Final answer
    x = 284.08

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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.