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Finding the Fourth Proportional to 201.80, 302.70 and 181.55

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Solution

The fourth proportional to 201.80, 302.70 and 181.55 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 302.70 = 181.55 : x
  2. Step 2: Convert to fraction form
    201.80/302.70 = 181.55/x
  3. Step 3: Cross multiply
    201.80x = 302.70 × 181.55
  4. Step 4: Simplify right side
    201.80x = 54,955.19
  5. Step 5: Solve for x
    x = 54,955.19/201.80
  6. Step 6: Final answer
    x = 272.33

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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.