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Finding the Fourth Proportional to 383.85, 575.96 and 161.64

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Solution

The fourth proportional to 383.85, 575.96 and 161.64 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.85 : 575.96 = 161.64 : x
  2. Step 2: Convert to fraction form
    383.85/575.96 = 161.64/x
  3. Step 3: Cross multiply
    383.85x = 575.96 × 161.64
  4. Step 4: Simplify right side
    383.85x = 93,097.37
  5. Step 5: Solve for x
    x = 93,097.37/383.85
  6. Step 6: Final answer
    x = 242.54

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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.