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Finding the Fourth Proportional to 322.19, 483.29 and 105.76

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Solution

The fourth proportional to 322.19, 483.29 and 105.76 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.19 : 483.29 = 105.76 : x
  2. Step 2: Convert to fraction form
    322.19/483.29 = 105.76/x
  3. Step 3: Cross multiply
    322.19x = 483.29 × 105.76
  4. Step 4: Simplify right side
    322.19x = 51,112.75
  5. Step 5: Solve for x
    x = 51,112.75/322.19
  6. Step 6: Final answer
    x = 158.64

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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.