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Finding the Fourth Proportional to 200.63, 300.71 and 114

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Solution

The fourth proportional to 200.63, 300.71 and 114 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.63 : 300.71 = 114 : x
  2. Step 2: Convert to fraction form
    200.63/300.71 = 114/x
  3. Step 3: Cross multiply
    200.63x = 300.71 × 114
  4. Step 4: Simplify right side
    200.63x = 34,280.37
  5. Step 5: Solve for x
    x = 34,280.37/200.63
  6. Step 6: Final answer
    x = 170.87

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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.