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Finding the Fourth Proportional to 322.53, 445.10 and 175.17

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Solution

The fourth proportional to 322.53, 445.10 and 175.17 is: 241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.53 : 445.10 = 175.17 : x
  2. Step 2: Convert to fraction form
    322.53/445.10 = 175.17/x
  3. Step 3: Cross multiply
    322.53x = 445.10 × 175.17
  4. Step 4: Simplify right side
    322.53x = 77,968.28
  5. Step 5: Solve for x
    x = 77,968.28/322.53
  6. Step 6: Final answer
    x = 241.74

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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.