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Finding the Fourth Proportional to 854.86, 1,282.26 and 238.56

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Solution

The fourth proportional to 854.86, 1,282.26 and 238.56 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.86 : 1,282.26 = 238.56 : x
  2. Step 2: Convert to fraction form
    854.86/1,282.26 = 238.56/x
  3. Step 3: Cross multiply
    854.86x = 1,282.26 × 238.56
  4. Step 4: Simplify right side
    854.86x = 305,895.95
  5. Step 5: Solve for x
    x = 305,895.95/854.86
  6. Step 6: Final answer
    x = 357.83

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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.