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Finding the Fourth Proportional to 243.57, 364.68 and 189.57

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Solution

The fourth proportional to 243.57, 364.68 and 189.57 is: 283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.57 : 364.68 = 189.57 : x
  2. Step 2: Convert to fraction form
    243.57/364.68 = 189.57/x
  3. Step 3: Cross multiply
    243.57x = 364.68 × 189.57
  4. Step 4: Simplify right side
    243.57x = 69,132.39
  5. Step 5: Solve for x
    x = 69,132.39/243.57
  6. Step 6: Final answer
    x = 283.83

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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.