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Finding the Fourth Proportional to 194.56, 290.40 and 175.12

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Solution

The fourth proportional to 194.56, 290.40 and 175.12 is: 261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 290.40 = 175.12 : x
  2. Step 2: Convert to fraction form
    194.56/290.40 = 175.12/x
  3. Step 3: Cross multiply
    194.56x = 290.40 × 175.12
  4. Step 4: Simplify right side
    194.56x = 50,854.85
  5. Step 5: Solve for x
    x = 50,854.85/194.56
  6. Step 6: Final answer
    x = 261.38

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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.