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Finding the Fourth Proportional to 325.55, 449.18 and 185.69

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Solution

The fourth proportional to 325.55, 449.18 and 185.69 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.55 : 449.18 = 185.69 : x
  2. Step 2: Convert to fraction form
    325.55/449.18 = 185.69/x
  3. Step 3: Cross multiply
    325.55x = 449.18 × 185.69
  4. Step 4: Simplify right side
    325.55x = 83,409.13
  5. Step 5: Solve for x
    x = 83,409.13/325.55
  6. Step 6: Final answer
    x = 256.21

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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.