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Finding the Fourth Proportional to 201.58, 303.89 and 188.80

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Solution

The fourth proportional to 201.58, 303.89 and 188.80 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 303.89 = 188.80 : x
  2. Step 2: Convert to fraction form
    201.58/303.89 = 188.80/x
  3. Step 3: Cross multiply
    201.58x = 303.89 × 188.80
  4. Step 4: Simplify right side
    201.58x = 57,374.43
  5. Step 5: Solve for x
    x = 57,374.43/201.58
  6. Step 6: Final answer
    x = 284.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.