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Finding the Fourth Proportional to 513.52, 769.92 and 188.84

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Solution

The fourth proportional to 513.52, 769.92 and 188.84 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.52 : 769.92 = 188.84 : x
  2. Step 2: Convert to fraction form
    513.52/769.92 = 188.84/x
  3. Step 3: Cross multiply
    513.52x = 769.92 × 188.84
  4. Step 4: Simplify right side
    513.52x = 145,391.69
  5. Step 5: Solve for x
    x = 145,391.69/513.52
  6. Step 6: Final answer
    x = 283.13

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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.