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Finding the Fourth Proportional to 319.49, 478.16 and 182.49

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Solution

The fourth proportional to 319.49, 478.16 and 182.49 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.49 : 478.16 = 182.49 : x
  2. Step 2: Convert to fraction form
    319.49/478.16 = 182.49/x
  3. Step 3: Cross multiply
    319.49x = 478.16 × 182.49
  4. Step 4: Simplify right side
    319.49x = 87,258.51
  5. Step 5: Solve for x
    x = 87,258.51/319.49
  6. Step 6: Final answer
    x = 273.12

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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.