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Finding the Fourth Proportional to 203.85, 306.02 and 160.67

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Solution

The fourth proportional to 203.85, 306.02 and 160.67 is: 241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 306.02 = 160.67 : x
  2. Step 2: Convert to fraction form
    203.85/306.02 = 160.67/x
  3. Step 3: Cross multiply
    203.85x = 306.02 × 160.67
  4. Step 4: Simplify right side
    203.85x = 49,165.90
  5. Step 5: Solve for x
    x = 49,165.90/203.85
  6. Step 6: Final answer
    x = 241.19

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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.