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Finding the Fourth Proportional to 200.72, 301.36 and 164.54

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Solution

The fourth proportional to 200.72, 301.36 and 164.54 is: 247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 301.36 = 164.54 : x
  2. Step 2: Convert to fraction form
    200.72/301.36 = 164.54/x
  3. Step 3: Cross multiply
    200.72x = 301.36 × 164.54
  4. Step 4: Simplify right side
    200.72x = 49,585.77
  5. Step 5: Solve for x
    x = 49,585.77/200.72
  6. Step 6: Final answer
    x = 247.04

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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.