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Finding the Fourth Proportional to 194.14, 290.68 and 102.64

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Solution

The fourth proportional to 194.14, 290.68 and 102.64 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.14 : 290.68 = 102.64 : x
  2. Step 2: Convert to fraction form
    194.14/290.68 = 102.64/x
  3. Step 3: Cross multiply
    194.14x = 290.68 × 102.64
  4. Step 4: Simplify right side
    194.14x = 29,835.40
  5. Step 5: Solve for x
    x = 29,835.40/194.14
  6. Step 6: Final answer
    x = 153.68

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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.