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Finding the Fourth Proportional to 319.88, 479.81 and 182.84

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Solution

The fourth proportional to 319.88, 479.81 and 182.84 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 479.81 = 182.84 : x
  2. Step 2: Convert to fraction form
    319.88/479.81 = 182.84/x
  3. Step 3: Cross multiply
    319.88x = 479.81 × 182.84
  4. Step 4: Simplify right side
    319.88x = 87,728.19
  5. Step 5: Solve for x
    x = 87,728.19/319.88
  6. Step 6: Final answer
    x = 274.25

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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.