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Finding the Fourth Proportional to 322.49, 483.64 and 106.09

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Solution

The fourth proportional to 322.49, 483.64 and 106.09 is: 159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.49 : 483.64 = 106.09 : x
  2. Step 2: Convert to fraction form
    322.49/483.64 = 106.09/x
  3. Step 3: Cross multiply
    322.49x = 483.64 × 106.09
  4. Step 4: Simplify right side
    322.49x = 51,309.37
  5. Step 5: Solve for x
    x = 51,309.37/322.49
  6. Step 6: Final answer
    x = 159.10

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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.