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Finding the Fourth Proportional to 513.07, 769.64 and 184.07

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Solution

The fourth proportional to 513.07, 769.64 and 184.07 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.07 : 769.64 = 184.07 : x
  2. Step 2: Convert to fraction form
    513.07/769.64 = 184.07/x
  3. Step 3: Cross multiply
    513.07x = 769.64 × 184.07
  4. Step 4: Simplify right side
    513.07x = 141,668.64
  5. Step 5: Solve for x
    x = 141,668.64/513.07
  6. Step 6: Final answer
    x = 276.12

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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.