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Finding the Fourth Proportional to 322.38, 483.44 and 105.91

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Solution

The fourth proportional to 322.38, 483.44 and 105.91 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 483.44 = 105.91 : x
  2. Step 2: Convert to fraction form
    322.38/483.44 = 105.91/x
  3. Step 3: Cross multiply
    322.38x = 483.44 × 105.91
  4. Step 4: Simplify right side
    322.38x = 51,199.39
  5. Step 5: Solve for x
    x = 51,199.39/322.38
  6. Step 6: Final answer
    x = 158.82

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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.