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Finding the Fourth Proportional to 401.36, 601.96 and 112.76

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Solution

The fourth proportional to 401.36, 601.96 and 112.76 is: 169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.36 : 601.96 = 112.76 : x
  2. Step 2: Convert to fraction form
    401.36/601.96 = 112.76/x
  3. Step 3: Cross multiply
    401.36x = 601.96 × 112.76
  4. Step 4: Simplify right side
    401.36x = 67,877.01
  5. Step 5: Solve for x
    x = 67,877.01/401.36
  6. Step 6: Final answer
    x = 169.12

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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.