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Finding the Fourth Proportional to 319.46, 440.82 and 186.68

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Solution

The fourth proportional to 319.46, 440.82 and 186.68 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.46 : 440.82 = 186.68 : x
  2. Step 2: Convert to fraction form
    319.46/440.82 = 186.68/x
  3. Step 3: Cross multiply
    319.46x = 440.82 × 186.68
  4. Step 4: Simplify right side
    319.46x = 82,292.28
  5. Step 5: Solve for x
    x = 82,292.28/319.46
  6. Step 6: Final answer
    x = 257.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.