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Finding the Fourth Proportional to 200.39, 300.68 and 142.77

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Solution

The fourth proportional to 200.39, 300.68 and 142.77 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.39 : 300.68 = 142.77 : x
  2. Step 2: Convert to fraction form
    200.39/300.68 = 142.77/x
  3. Step 3: Cross multiply
    200.39x = 300.68 × 142.77
  4. Step 4: Simplify right side
    200.39x = 42,929.03
  5. Step 5: Solve for x
    x = 42,929.03/200.39
  6. Step 6: Final answer
    x = 214.23

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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.