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Finding the Fourth Proportional to 200.72, 300.81 and 114.10

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Solution

The fourth proportional to 200.72, 300.81 and 114.10 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 300.81 = 114.10 : x
  2. Step 2: Convert to fraction form
    200.72/300.81 = 114.10/x
  3. Step 3: Cross multiply
    200.72x = 300.81 × 114.10
  4. Step 4: Simplify right side
    200.72x = 34,320.92
  5. Step 5: Solve for x
    x = 34,320.92/200.72
  6. Step 6: Final answer
    x = 170.99

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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.