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Finding the Fourth Proportional to 452.06, 678.18 and 163.46

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Solution

The fourth proportional to 452.06, 678.18 and 163.46 is: 245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 678.18 = 163.46 : x
  2. Step 2: Convert to fraction form
    452.06/678.18 = 163.46/x
  3. Step 3: Cross multiply
    452.06x = 678.18 × 163.46
  4. Step 4: Simplify right side
    452.06x = 110,855.30
  5. Step 5: Solve for x
    x = 110,855.30/452.06
  6. Step 6: Final answer
    x = 245.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.