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Finding the Fourth Proportional to 201, 302.87 and 178.90

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Solution

The fourth proportional to 201, 302.87 and 178.90 is: 269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 302.87 = 178.90 : x
  2. Step 2: Convert to fraction form
    201/302.87 = 178.90/x
  3. Step 3: Cross multiply
    201x = 302.87 × 178.90
  4. Step 4: Simplify right side
    201x = 54,181.79
  5. Step 5: Solve for x
    x = 54,181.79/201
  6. Step 6: Final answer
    x = 269.56

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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.