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Finding the Fourth Proportional to 322.68, 484.14 and 178.36

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Solution

The fourth proportional to 322.68, 484.14 and 178.36 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.68 : 484.14 = 178.36 : x
  2. Step 2: Convert to fraction form
    322.68/484.14 = 178.36/x
  3. Step 3: Cross multiply
    322.68x = 484.14 × 178.36
  4. Step 4: Simplify right side
    322.68x = 86,351.21
  5. Step 5: Solve for x
    x = 86,351.21/322.68
  6. Step 6: Final answer
    x = 267.61

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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.