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Finding the Fourth Proportional to 450.81, 675.67 and 162.09

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Solution

The fourth proportional to 450.81, 675.67 and 162.09 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.81 : 675.67 = 162.09 : x
  2. Step 2: Convert to fraction form
    450.81/675.67 = 162.09/x
  3. Step 3: Cross multiply
    450.81x = 675.67 × 162.09
  4. Step 4: Simplify right side
    450.81x = 109,519.35
  5. Step 5: Solve for x
    x = 109,519.35/450.81
  6. Step 6: Final answer
    x = 242.94

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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.