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Finding the Fourth Proportional to 319.64, 441.05 and 186.86

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Solution

The fourth proportional to 319.64, 441.05 and 186.86 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.64 : 441.05 = 186.86 : x
  2. Step 2: Convert to fraction form
    319.64/441.05 = 186.86/x
  3. Step 3: Cross multiply
    319.64x = 441.05 × 186.86
  4. Step 4: Simplify right side
    319.64x = 82,414.77
  5. Step 5: Solve for x
    x = 82,414.77/319.64
  6. Step 6: Final answer
    x = 257.84

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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.