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Finding the Fourth Proportional to 194.09, 291.17 and 102.76

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Solution

The fourth proportional to 194.09, 291.17 and 102.76 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.09 : 291.17 = 102.76 : x
  2. Step 2: Convert to fraction form
    194.09/291.17 = 102.76/x
  3. Step 3: Cross multiply
    194.09x = 291.17 × 102.76
  4. Step 4: Simplify right side
    194.09x = 29,920.86
  5. Step 5: Solve for x
    x = 29,920.86/194.09
  6. Step 6: Final answer
    x = 154.16

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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.