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Finding the Fourth Proportional to 513.03, 768.96 and 183.82

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Solution

The fourth proportional to 513.03, 768.96 and 183.82 is: 275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.03 : 768.96 = 183.82 : x
  2. Step 2: Convert to fraction form
    513.03/768.96 = 183.82/x
  3. Step 3: Cross multiply
    513.03x = 768.96 × 183.82
  4. Step 4: Simplify right side
    513.03x = 141,348.76
  5. Step 5: Solve for x
    x = 141,348.76/513.03
  6. Step 6: Final answer
    x = 275.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.