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Finding the Fourth Proportional to 201.45, 278.11 and 127.81

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Solution

The fourth proportional to 201.45, 278.11 and 127.81 is: 176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 278.11 = 127.81 : x
  2. Step 2: Convert to fraction form
    201.45/278.11 = 127.81/x
  3. Step 3: Cross multiply
    201.45x = 278.11 × 127.81
  4. Step 4: Simplify right side
    201.45x = 35,545.75
  5. Step 5: Solve for x
    x = 35,545.75/201.45
  6. Step 6: Final answer
    x = 176.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.