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Finding the Fourth Proportional to 134.82, 200.61 and 134.10

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Solution

The fourth proportional to 134.82, 200.61 and 134.10 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.82 : 200.61 = 134.10 : x
  2. Step 2: Convert to fraction form
    134.82/200.61 = 134.10/x
  3. Step 3: Cross multiply
    134.82x = 200.61 × 134.10
  4. Step 4: Simplify right side
    134.82x = 26,901.80
  5. Step 5: Solve for x
    x = 26,901.80/134.82
  6. Step 6: Final answer
    x = 199.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.