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Finding the Fourth Proportional to 322.12, 444.51 and 174.75

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Solution

The fourth proportional to 322.12, 444.51 and 174.75 is: 241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 444.51 = 174.75 : x
  2. Step 2: Convert to fraction form
    322.12/444.51 = 174.75/x
  3. Step 3: Cross multiply
    322.12x = 444.51 × 174.75
  4. Step 4: Simplify right side
    322.12x = 77,678.12
  5. Step 5: Solve for x
    x = 77,678.12/322.12
  6. Step 6: Final answer
    x = 241.15

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Why These Related Problems?

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