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Finding the Fourth Proportional to 202.64, 302.85 and 163.71

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Solution

The fourth proportional to 202.64, 302.85 and 163.71 is: 244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.64 : 302.85 = 163.71 : x
  2. Step 2: Convert to fraction form
    202.64/302.85 = 163.71/x
  3. Step 3: Cross multiply
    202.64x = 302.85 × 163.71
  4. Step 4: Simplify right side
    202.64x = 49,579.57
  5. Step 5: Solve for x
    x = 49,579.57/202.64
  6. Step 6: Final answer
    x = 244.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.