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Finding the Fourth Proportional to 201.60, 286.40 and 201.60

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Solution

The fourth proportional to 201.60, 286.40 and 201.60 is: 286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 286.40 = 201.60 : x
  2. Step 2: Convert to fraction form
    201.60/286.40 = 201.60/x
  3. Step 3: Cross multiply
    201.60x = 286.40 × 201.60
  4. Step 4: Simplify right side
    201.60x = 57,738.24
  5. Step 5: Solve for x
    x = 57,738.24/201.60
  6. Step 6: Final answer
    x = 286.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.