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Finding the Fourth Proportional to 401.11, 601.64 and 127.21

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Solution

The fourth proportional to 401.11, 601.64 and 127.21 is: 190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.11 : 601.64 = 127.21 : x
  2. Step 2: Convert to fraction form
    401.11/601.64 = 127.21/x
  3. Step 3: Cross multiply
    401.11x = 601.64 × 127.21
  4. Step 4: Simplify right side
    401.11x = 76,533.42
  5. Step 5: Solve for x
    x = 76,533.42/401.11
  6. Step 6: Final answer
    x = 190.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.