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Finding the Fourth Proportional to 857, 1,285.50 and 249

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Solution

The fourth proportional to 857, 1,285.50 and 249 is: 373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    857 : 1,285.50 = 249 : x
  2. Step 2: Convert to fraction form
    857/1,285.50 = 249/x
  3. Step 3: Cross multiply
    857x = 1,285.50 × 249
  4. Step 4: Simplify right side
    857x = 320,089.50
  5. Step 5: Solve for x
    x = 320,089.50/857
  6. Step 6: Final answer
    x = 373.50

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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.