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Finding the Fourth Proportional to 401.78, 602.24 and 182.52

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Solution

The fourth proportional to 401.78, 602.24 and 182.52 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.78 : 602.24 = 182.52 : x
  2. Step 2: Convert to fraction form
    401.78/602.24 = 182.52/x
  3. Step 3: Cross multiply
    401.78x = 602.24 × 182.52
  4. Step 4: Simplify right side
    401.78x = 109,919.93
  5. Step 5: Solve for x
    x = 109,919.93/401.78
  6. Step 6: Final answer
    x = 273.59

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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.