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Finding the Fourth Proportional to 200.84, 301.68 and 178.49

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Solution

The fourth proportional to 200.84, 301.68 and 178.49 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 301.68 = 178.49 : x
  2. Step 2: Convert to fraction form
    200.84/301.68 = 178.49/x
  3. Step 3: Cross multiply
    200.84x = 301.68 × 178.49
  4. Step 4: Simplify right side
    200.84x = 53,846.86
  5. Step 5: Solve for x
    x = 53,846.86/200.84
  6. Step 6: Final answer
    x = 268.11

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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.