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Finding the Fourth Proportional to 401.47, 601.74 and 182.26

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Solution

The fourth proportional to 401.47, 601.74 and 182.26 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.47 : 601.74 = 182.26 : x
  2. Step 2: Convert to fraction form
    401.47/601.74 = 182.26/x
  3. Step 3: Cross multiply
    401.47x = 601.74 × 182.26
  4. Step 4: Simplify right side
    401.47x = 109,673.13
  5. Step 5: Solve for x
    x = 109,673.13/401.47
  6. Step 6: Final answer
    x = 273.18

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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.