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Finding the Fourth Proportional to 194.08, 268.00 and 144.87

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Solution

The fourth proportional to 194.08, 268.00 and 144.87 is: 200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 268.00 = 144.87 : x
  2. Step 2: Convert to fraction form
    194.08/268.00 = 144.87/x
  3. Step 3: Cross multiply
    194.08x = 268.00 × 144.87
  4. Step 4: Simplify right side
    194.08x = 38,824.80
  5. Step 5: Solve for x
    x = 38,824.80/194.08
  6. Step 6: Final answer
    x = 200.05

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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.