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Finding the Fourth Proportional to 202.96, 304.06 and 161.91

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Solution

The fourth proportional to 202.96, 304.06 and 161.91 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 304.06 = 161.91 : x
  2. Step 2: Convert to fraction form
    202.96/304.06 = 161.91/x
  3. Step 3: Cross multiply
    202.96x = 304.06 × 161.91
  4. Step 4: Simplify right side
    202.96x = 49,230.35
  5. Step 5: Solve for x
    x = 49,230.35/202.96
  6. Step 6: Final answer
    x = 242.56

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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.