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Finding the Fourth Proportional to 382.48, 573.84 and 177.12

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Solution

The fourth proportional to 382.48, 573.84 and 177.12 is: 265.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.48 : 573.84 = 177.12 : x
  2. Step 2: Convert to fraction form
    382.48/573.84 = 177.12/x
  3. Step 3: Cross multiply
    382.48x = 573.84 × 177.12
  4. Step 4: Simplify right side
    382.48x = 101,638.54
  5. Step 5: Solve for x
    x = 101,638.54/382.48
  6. Step 6: Final answer
    x = 265.74

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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.