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Finding the Fourth Proportional to 201.40, 300.63 and 164.60

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Solution

The fourth proportional to 201.40, 300.63 and 164.60 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.40 : 300.63 = 164.60 : x
  2. Step 2: Convert to fraction form
    201.40/300.63 = 164.60/x
  3. Step 3: Cross multiply
    201.40x = 300.63 × 164.60
  4. Step 4: Simplify right side
    201.40x = 49,483.70
  5. Step 5: Solve for x
    x = 49,483.70/201.40
  6. Step 6: Final answer
    x = 245.70

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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.