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Finding the Fourth Proportional to 325.42, 449.06 and 178.07

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Solution

The fourth proportional to 325.42, 449.06 and 178.07 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.42 : 449.06 = 178.07 : x
  2. Step 2: Convert to fraction form
    325.42/449.06 = 178.07/x
  3. Step 3: Cross multiply
    325.42x = 449.06 × 178.07
  4. Step 4: Simplify right side
    325.42x = 79,960.98
  5. Step 5: Solve for x
    x = 79,960.98/325.42
  6. Step 6: Final answer
    x = 245.72

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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.