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Finding the Fourth Proportional to 322.64, 483.96 and 106.22

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Solution

The fourth proportional to 322.64, 483.96 and 106.22 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.64 : 483.96 = 106.22 : x
  2. Step 2: Convert to fraction form
    322.64/483.96 = 106.22/x
  3. Step 3: Cross multiply
    322.64x = 483.96 × 106.22
  4. Step 4: Simplify right side
    322.64x = 51,406.23
  5. Step 5: Solve for x
    x = 51,406.23/322.64
  6. Step 6: Final answer
    x = 159.33

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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.