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Finding the Fourth Proportional to 134.20, 194.35 and 134.20

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Solution

The fourth proportional to 134.20, 194.35 and 134.20 is: 194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 194.35 = 134.20 : x
  2. Step 2: Convert to fraction form
    134.20/194.35 = 134.20/x
  3. Step 3: Cross multiply
    134.20x = 194.35 × 134.20
  4. Step 4: Simplify right side
    134.20x = 26,081.77
  5. Step 5: Solve for x
    x = 26,081.77/134.20
  6. Step 6: Final answer
    x = 194.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.