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Finding the Fourth Proportional to 383.89, 575.89 and 137.07

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Solution

The fourth proportional to 383.89, 575.89 and 137.07 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.89 : 575.89 = 137.07 : x
  2. Step 2: Convert to fraction form
    383.89/575.89 = 137.07/x
  3. Step 3: Cross multiply
    383.89x = 575.89 × 137.07
  4. Step 4: Simplify right side
    383.89x = 78,939.41
  5. Step 5: Solve for x
    x = 78,939.41/383.89
  6. Step 6: Final answer
    x = 205.63

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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.