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Finding the Fourth Proportional to 200.76, 301.14 and 114.27

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Solution

The fourth proportional to 200.76, 301.14 and 114.27 is: 171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 301.14 = 114.27 : x
  2. Step 2: Convert to fraction form
    200.76/301.14 = 114.27/x
  3. Step 3: Cross multiply
    200.76x = 301.14 × 114.27
  4. Step 4: Simplify right side
    200.76x = 34,411.27
  5. Step 5: Solve for x
    x = 34,411.27/200.76
  6. Step 6: Final answer
    x = 171.41

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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.