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Finding the Fourth Proportional to 201.50, 278.16 and 149.84

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Solution

The fourth proportional to 201.50, 278.16 and 149.84 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.50 : 278.16 = 149.84 : x
  2. Step 2: Convert to fraction form
    201.50/278.16 = 149.84/x
  3. Step 3: Cross multiply
    201.50x = 278.16 × 149.84
  4. Step 4: Simplify right side
    201.50x = 41,679.49
  5. Step 5: Solve for x
    x = 41,679.49/201.50
  6. Step 6: Final answer
    x = 206.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.