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Finding the Fourth Proportional to 322.45, 483.75 and 106.04

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Solution

The fourth proportional to 322.45, 483.75 and 106.04 is: 159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 483.75 = 106.04 : x
  2. Step 2: Convert to fraction form
    322.45/483.75 = 106.04/x
  3. Step 3: Cross multiply
    322.45x = 483.75 × 106.04
  4. Step 4: Simplify right side
    322.45x = 51,298.06
  5. Step 5: Solve for x
    x = 51,298.06/322.45
  6. Step 6: Final answer
    x = 159.09

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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.