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Finding the Fourth Proportional to 200.02, 300.26 and 186.81

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Solution

The fourth proportional to 200.02, 300.26 and 186.81 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 300.26 = 186.81 : x
  2. Step 2: Convert to fraction form
    200.02/300.26 = 186.81/x
  3. Step 3: Cross multiply
    200.02x = 300.26 × 186.81
  4. Step 4: Simplify right side
    200.02x = 56,089.86
  5. Step 5: Solve for x
    x = 56,089.86/200.02
  6. Step 6: Final answer
    x = 280.42

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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.