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Finding the Fourth Proportional to 201.80, 302.70 and 189.65

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Solution

The fourth proportional to 201.80, 302.70 and 189.65 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.80 : 302.70 = 189.65 : x
  2. Step 2: Convert to fraction form
    201.80/302.70 = 189.65/x
  3. Step 3: Cross multiply
    201.80x = 302.70 × 189.65
  4. Step 4: Simplify right side
    201.80x = 57,407.06
  5. Step 5: Solve for x
    x = 57,407.06/201.80
  6. Step 6: Final answer
    x = 284.48

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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.