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Finding the Fourth Proportional to 263.25, 393.80 and 189.68

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Solution

The fourth proportional to 263.25, 393.80 and 189.68 is: 283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.25 : 393.80 = 189.68 : x
  2. Step 2: Convert to fraction form
    263.25/393.80 = 189.68/x
  3. Step 3: Cross multiply
    263.25x = 393.80 × 189.68
  4. Step 4: Simplify right side
    263.25x = 74,693.07
  5. Step 5: Solve for x
    x = 74,693.07/263.25
  6. Step 6: Final answer
    x = 283.73

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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.