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Finding the Fourth Proportional to 382.52, 573.31 and 177.05

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Solution

The fourth proportional to 382.52, 573.31 and 177.05 is: 265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.52 : 573.31 = 177.05 : x
  2. Step 2: Convert to fraction form
    382.52/573.31 = 177.05/x
  3. Step 3: Cross multiply
    382.52x = 573.31 × 177.05
  4. Step 4: Simplify right side
    382.52x = 101,506.19
  5. Step 5: Solve for x
    x = 101,506.19/382.52
  6. Step 6: Final answer
    x = 265.36

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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.