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Finding the Fourth Proportional to 194.23, 291.38 and 83.06

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Solution

The fourth proportional to 194.23, 291.38 and 83.06 is: 124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 291.38 = 83.06 : x
  2. Step 2: Convert to fraction form
    194.23/291.38 = 83.06/x
  3. Step 3: Cross multiply
    194.23x = 291.38 × 83.06
  4. Step 4: Simplify right side
    194.23x = 24,200.77
  5. Step 5: Solve for x
    x = 24,200.77/194.23
  6. Step 6: Final answer
    x = 124.60

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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.