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Finding the Fourth Proportional to 513, 769.65 and 188.37

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Solution

The fourth proportional to 513, 769.65 and 188.37 is: 282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 769.65 = 188.37 : x
  2. Step 2: Convert to fraction form
    513/769.65 = 188.37/x
  3. Step 3: Cross multiply
    513x = 769.65 × 188.37
  4. Step 4: Simplify right side
    513x = 144,978.97
  5. Step 5: Solve for x
    x = 144,978.97/513
  6. Step 6: Final answer
    x = 282.61

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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.