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Finding the Fourth Proportional to 325.54, 449.23 and 185.63

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Solution

The fourth proportional to 325.54, 449.23 and 185.63 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.54 : 449.23 = 185.63 : x
  2. Step 2: Convert to fraction form
    325.54/449.23 = 185.63/x
  3. Step 3: Cross multiply
    325.54x = 449.23 × 185.63
  4. Step 4: Simplify right side
    325.54x = 83,389.71
  5. Step 5: Solve for x
    x = 83,389.71/325.54
  6. Step 6: Final answer
    x = 256.15

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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.