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Finding the Fourth Proportional to 202.01, 277.07 and 192.56

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Solution

The fourth proportional to 202.01, 277.07 and 192.56 is: 264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.01 : 277.07 = 192.56 : x
  2. Step 2: Convert to fraction form
    202.01/277.07 = 192.56/x
  3. Step 3: Cross multiply
    202.01x = 277.07 × 192.56
  4. Step 4: Simplify right side
    202.01x = 53,350.25
  5. Step 5: Solve for x
    x = 53,350.25/202.01
  6. Step 6: Final answer
    x = 264.10

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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.