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Finding the Fourth Proportional to 383.50, 575.16 and 109.54

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Solution

The fourth proportional to 383.50, 575.16 and 109.54 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.50 : 575.16 = 109.54 : x
  2. Step 2: Convert to fraction form
    383.50/575.16 = 109.54/x
  3. Step 3: Cross multiply
    383.50x = 575.16 × 109.54
  4. Step 4: Simplify right side
    383.50x = 63,003.03
  5. Step 5: Solve for x
    x = 63,003.03/383.50
  6. Step 6: Final answer
    x = 164.28

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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.