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Finding the Fourth Proportional to 202.08, 302.58 and 181.56

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Solution

The fourth proportional to 202.08, 302.58 and 181.56 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 302.58 = 181.56 : x
  2. Step 2: Convert to fraction form
    202.08/302.58 = 181.56/x
  3. Step 3: Cross multiply
    202.08x = 302.58 × 181.56
  4. Step 4: Simplify right side
    202.08x = 54,936.42
  5. Step 5: Solve for x
    x = 54,936.42/202.08
  6. Step 6: Final answer
    x = 271.85

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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.