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Finding the Fourth Proportional to 201.60, 281.70 and 201.60

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Solution

The fourth proportional to 201.60, 281.70 and 201.60 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 281.70 = 201.60 : x
  2. Step 2: Convert to fraction form
    201.60/281.70 = 201.60/x
  3. Step 3: Cross multiply
    201.60x = 281.70 × 201.60
  4. Step 4: Simplify right side
    201.60x = 56,790.72
  5. Step 5: Solve for x
    x = 56,790.72/201.60
  6. Step 6: Final answer
    x = 281.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.