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Finding the Fourth Proportional to 513.45, 770.22 and 188.82

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Solution

The fourth proportional to 513.45, 770.22 and 188.82 is: 283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.45 : 770.22 = 188.82 : x
  2. Step 2: Convert to fraction form
    513.45/770.22 = 188.82/x
  3. Step 3: Cross multiply
    513.45x = 770.22 × 188.82
  4. Step 4: Simplify right side
    513.45x = 145,432.94
  5. Step 5: Solve for x
    x = 145,432.94/513.45
  6. Step 6: Final answer
    x = 283.25

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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.