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Finding the Fourth Proportional to 263.31, 394.53 and 185.89

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Solution

The fourth proportional to 263.31, 394.53 and 185.89 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.31 : 394.53 = 185.89 : x
  2. Step 2: Convert to fraction form
    263.31/394.53 = 185.89/x
  3. Step 3: Cross multiply
    263.31x = 394.53 × 185.89
  4. Step 4: Simplify right side
    263.31x = 73,339.24
  5. Step 5: Solve for x
    x = 73,339.24/263.31
  6. Step 6: Final answer
    x = 278.53

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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.