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Finding the Fourth Proportional to 322.35, 483.59 and 105.91

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Solution

The fourth proportional to 322.35, 483.59 and 105.91 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.35 : 483.59 = 105.91 : x
  2. Step 2: Convert to fraction form
    322.35/483.59 = 105.91/x
  3. Step 3: Cross multiply
    322.35x = 483.59 × 105.91
  4. Step 4: Simplify right side
    322.35x = 51,217.02
  5. Step 5: Solve for x
    x = 51,217.02/322.35
  6. Step 6: Final answer
    x = 158.89

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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.