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Finding the Fourth Proportional to 322.34, 482.83 and 167.81

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Solution

The fourth proportional to 322.34, 482.83 and 167.81 is: 251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.34 : 482.83 = 167.81 : x
  2. Step 2: Convert to fraction form
    322.34/482.83 = 167.81/x
  3. Step 3: Cross multiply
    322.34x = 482.83 × 167.81
  4. Step 4: Simplify right side
    322.34x = 81,020.45
  5. Step 5: Solve for x
    x = 81,020.45/322.34
  6. Step 6: Final answer
    x = 251.35

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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.