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Finding the Fourth Proportional to 382.96, 574.56 and 177.46

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Solution

The fourth proportional to 382.96, 574.56 and 177.46 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.96 : 574.56 = 177.46 : x
  2. Step 2: Convert to fraction form
    382.96/574.56 = 177.46/x
  3. Step 3: Cross multiply
    382.96x = 574.56 × 177.46
  4. Step 4: Simplify right side
    382.96x = 101,961.42
  5. Step 5: Solve for x
    x = 101,961.42/382.96
  6. Step 6: Final answer
    x = 266.25

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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.