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Finding the Fourth Proportional to 201.81, 302.99 and 185.70

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Solution

The fourth proportional to 201.81, 302.99 and 185.70 is: 278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.81 : 302.99 = 185.70 : x
  2. Step 2: Convert to fraction form
    201.81/302.99 = 185.70/x
  3. Step 3: Cross multiply
    201.81x = 302.99 × 185.70
  4. Step 4: Simplify right side
    201.81x = 56,264.31
  5. Step 5: Solve for x
    x = 56,264.31/201.81
  6. Step 6: Final answer
    x = 278.80

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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.