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Finding the Fourth Proportional to 322.55, 445.12 and 175.18

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Solution

The fourth proportional to 322.55, 445.12 and 175.18 is: 241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.55 : 445.12 = 175.18 : x
  2. Step 2: Convert to fraction form
    322.55/445.12 = 175.18/x
  3. Step 3: Cross multiply
    322.55x = 445.12 × 175.18
  4. Step 4: Simplify right side
    322.55x = 77,976.12
  5. Step 5: Solve for x
    x = 77,976.12/322.55
  6. Step 6: Final answer
    x = 241.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.