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Finding the Fourth Proportional to 322.83, 445.41 and 190.02

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Solution

The fourth proportional to 322.83, 445.41 and 190.02 is: 262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.83 : 445.41 = 190.02 : x
  2. Step 2: Convert to fraction form
    322.83/445.41 = 190.02/x
  3. Step 3: Cross multiply
    322.83x = 445.41 × 190.02
  4. Step 4: Simplify right side
    322.83x = 84,636.81
  5. Step 5: Solve for x
    x = 84,636.81/322.83
  6. Step 6: Final answer
    x = 262.17

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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.