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Finding the Fourth Proportional to 243.38, 364.60 and 189

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Solution

The fourth proportional to 243.38, 364.60 and 189 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.38 : 364.60 = 189 : x
  2. Step 2: Convert to fraction form
    243.38/364.60 = 189/x
  3. Step 3: Cross multiply
    243.38x = 364.60 × 189
  4. Step 4: Simplify right side
    243.38x = 68,909.40
  5. Step 5: Solve for x
    x = 68,909.40/243.38
  6. Step 6: Final answer
    x = 283.14

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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.