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Finding the Fourth Proportional to 263.12, 393.89 and 189.83

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Solution

The fourth proportional to 263.12, 393.89 and 189.83 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 393.89 = 189.83 : x
  2. Step 2: Convert to fraction form
    263.12/393.89 = 189.83/x
  3. Step 3: Cross multiply
    263.12x = 393.89 × 189.83
  4. Step 4: Simplify right side
    263.12x = 74,769.22
  5. Step 5: Solve for x
    x = 74,769.22/263.12
  6. Step 6: Final answer
    x = 284.17

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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.