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Finding the Fourth Proportional to 322.30, 483.36 and 157.69

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Solution

The fourth proportional to 322.30, 483.36 and 157.69 is: 236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.30 : 483.36 = 157.69 : x
  2. Step 2: Convert to fraction form
    322.30/483.36 = 157.69/x
  3. Step 3: Cross multiply
    322.30x = 483.36 × 157.69
  4. Step 4: Simplify right side
    322.30x = 76,221.04
  5. Step 5: Solve for x
    x = 76,221.04/322.30
  6. Step 6: Final answer
    x = 236.49

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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.