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Finding the Fourth Proportional to 194.07, 290.93 and 157.71

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Solution

The fourth proportional to 194.07, 290.93 and 157.71 is: 236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.07 : 290.93 = 157.71 : x
  2. Step 2: Convert to fraction form
    194.07/290.93 = 157.71/x
  3. Step 3: Cross multiply
    194.07x = 290.93 × 157.71
  4. Step 4: Simplify right side
    194.07x = 45,881.78
  5. Step 5: Solve for x
    x = 45,881.78/194.07
  6. Step 6: Final answer
    x = 236.42

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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.