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Finding the Fourth Proportional to 325.66, 449.42 and 185.79

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Solution

The fourth proportional to 325.66, 449.42 and 185.79 is: 256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.66 : 449.42 = 185.79 : x
  2. Step 2: Convert to fraction form
    325.66/449.42 = 185.79/x
  3. Step 3: Cross multiply
    325.66x = 449.42 × 185.79
  4. Step 4: Simplify right side
    325.66x = 83,497.74
  5. Step 5: Solve for x
    x = 83,497.74/325.66
  6. Step 6: Final answer
    x = 256.40

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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.