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Finding the Fourth Proportional to 194.03, 291.17 and 129.06

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Solution

The fourth proportional to 194.03, 291.17 and 129.06 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.03 : 291.17 = 129.06 : x
  2. Step 2: Convert to fraction form
    194.03/291.17 = 129.06/x
  3. Step 3: Cross multiply
    194.03x = 291.17 × 129.06
  4. Step 4: Simplify right side
    194.03x = 37,578.40
  5. Step 5: Solve for x
    x = 37,578.40/194.03
  6. Step 6: Final answer
    x = 193.67

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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.