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Finding the Fourth Proportional to 202.18, 302.82 and 120.85

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Solution

The fourth proportional to 202.18, 302.82 and 120.85 is: 181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.18 : 302.82 = 120.85 : x
  2. Step 2: Convert to fraction form
    202.18/302.82 = 120.85/x
  3. Step 3: Cross multiply
    202.18x = 302.82 × 120.85
  4. Step 4: Simplify right side
    202.18x = 36,596.29
  5. Step 5: Solve for x
    x = 36,596.29/202.18
  6. Step 6: Final answer
    x = 181.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.