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Finding the Fourth Proportional to 401.10, 601.41 and 127.08

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Solution

The fourth proportional to 401.10, 601.41 and 127.08 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.10 : 601.41 = 127.08 : x
  2. Step 2: Convert to fraction form
    401.10/601.41 = 127.08/x
  3. Step 3: Cross multiply
    401.10x = 601.41 × 127.08
  4. Step 4: Simplify right side
    401.10x = 76,427.18
  5. Step 5: Solve for x
    x = 76,427.18/401.10
  6. Step 6: Final answer
    x = 190.54

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Why These Related Problems?

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