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Finding the Fourth Proportional to 322.38, 482.85 and 177.75

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Solution

The fourth proportional to 322.38, 482.85 and 177.75 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 482.85 = 177.75 : x
  2. Step 2: Convert to fraction form
    322.38/482.85 = 177.75/x
  3. Step 3: Cross multiply
    322.38x = 482.85 × 177.75
  4. Step 4: Simplify right side
    322.38x = 85,826.59
  5. Step 5: Solve for x
    x = 85,826.59/322.38
  6. Step 6: Final answer
    x = 266.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.