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Finding the Fourth Proportional to 283.50, 390.96 and 185.22

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Solution

The fourth proportional to 283.50, 390.96 and 185.22 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 390.96 = 185.22 : x
  2. Step 2: Convert to fraction form
    283.50/390.96 = 185.22/x
  3. Step 3: Cross multiply
    283.50x = 390.96 × 185.22
  4. Step 4: Simplify right side
    283.50x = 72,413.61
  5. Step 5: Solve for x
    x = 72,413.61/283.50
  6. Step 6: Final answer
    x = 255.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.