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Finding the Fourth Proportional to 201.02, 275.77 and 188.60

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Solution

The fourth proportional to 201.02, 275.77 and 188.60 is: 258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 275.77 = 188.60 : x
  2. Step 2: Convert to fraction form
    201.02/275.77 = 188.60/x
  3. Step 3: Cross multiply
    201.02x = 275.77 × 188.60
  4. Step 4: Simplify right side
    201.02x = 52,010.22
  5. Step 5: Solve for x
    x = 52,010.22/201.02
  6. Step 6: Final answer
    x = 258.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.