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Finding the Fourth Proportional to 383.78, 575.76 and 109.89

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Solution

The fourth proportional to 383.78, 575.76 and 109.89 is: 164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 575.76 = 109.89 : x
  2. Step 2: Convert to fraction form
    383.78/575.76 = 109.89/x
  3. Step 3: Cross multiply
    383.78x = 575.76 × 109.89
  4. Step 4: Simplify right side
    383.78x = 63,270.54
  5. Step 5: Solve for x
    x = 63,270.54/383.78
  6. Step 6: Final answer
    x = 164.86

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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.