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Finding the Fourth Proportional to 200.38, 300.66 and 114.88

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Solution

The fourth proportional to 200.38, 300.66 and 114.88 is: 172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 300.66 = 114.88 : x
  2. Step 2: Convert to fraction form
    200.38/300.66 = 114.88/x
  3. Step 3: Cross multiply
    200.38x = 300.66 × 114.88
  4. Step 4: Simplify right side
    200.38x = 34,539.82
  5. Step 5: Solve for x
    x = 34,539.82/200.38
  6. Step 6: Final answer
    x = 172.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.