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Finding the Fourth Proportional to 200.79, 300.87 and 114.07

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Solution

The fourth proportional to 200.79, 300.87 and 114.07 is: 170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.79 : 300.87 = 114.07 : x
  2. Step 2: Convert to fraction form
    200.79/300.87 = 114.07/x
  3. Step 3: Cross multiply
    200.79x = 300.87 × 114.07
  4. Step 4: Simplify right side
    200.79x = 34,320.24
  5. Step 5: Solve for x
    x = 34,320.24/200.79
  6. Step 6: Final answer
    x = 170.93

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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.