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Finding the Fourth Proportional to 194.01, 289.39 and 175.56

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Solution

The fourth proportional to 194.01, 289.39 and 175.56 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.01 : 289.39 = 175.56 : x
  2. Step 2: Convert to fraction form
    194.01/289.39 = 175.56/x
  3. Step 3: Cross multiply
    194.01x = 289.39 × 175.56
  4. Step 4: Simplify right side
    194.01x = 50,804.87
  5. Step 5: Solve for x
    x = 50,804.87/194.01
  6. Step 6: Final answer
    x = 261.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.