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Finding the Fourth Proportional to 322.51, 483.67 and 106.24

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Solution

The fourth proportional to 322.51, 483.67 and 106.24 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.51 : 483.67 = 106.24 : x
  2. Step 2: Convert to fraction form
    322.51/483.67 = 106.24/x
  3. Step 3: Cross multiply
    322.51x = 483.67 × 106.24
  4. Step 4: Simplify right side
    322.51x = 51,385.10
  5. Step 5: Solve for x
    x = 51,385.10/322.51
  6. Step 6: Final answer
    x = 159.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.