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Finding the Fourth Proportional to 319.60, 479.12 and 182.45

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Solution

The fourth proportional to 319.60, 479.12 and 182.45 is: 273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.60 : 479.12 = 182.45 : x
  2. Step 2: Convert to fraction form
    319.60/479.12 = 182.45/x
  3. Step 3: Cross multiply
    319.60x = 479.12 × 182.45
  4. Step 4: Simplify right side
    319.60x = 87,415.73
  5. Step 5: Solve for x
    x = 87,415.73/319.60
  6. Step 6: Final answer
    x = 273.52

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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.