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Finding the Fourth Proportional to 200.89, 302.71 and 167.41

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Solution

The fourth proportional to 200.89, 302.71 and 167.41 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 302.71 = 167.41 : x
  2. Step 2: Convert to fraction form
    200.89/302.71 = 167.41/x
  3. Step 3: Cross multiply
    200.89x = 302.71 × 167.41
  4. Step 4: Simplify right side
    200.89x = 50,674.33
  5. Step 5: Solve for x
    x = 50,674.33/200.89
  6. Step 6: Final answer
    x = 252.26

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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.