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Finding the Fourth Proportional to 513.61, 769.96 and 188.90

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Solution

The fourth proportional to 513.61, 769.96 and 188.90 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.61 : 769.96 = 188.90 : x
  2. Step 2: Convert to fraction form
    513.61/769.96 = 188.90/x
  3. Step 3: Cross multiply
    513.61x = 769.96 × 188.90
  4. Step 4: Simplify right side
    513.61x = 145,445.44
  5. Step 5: Solve for x
    x = 145,445.44/513.61
  6. Step 6: Final answer
    x = 283.18

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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.