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Finding the Fourth Proportional to 382.81, 574.07 and 177.33

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Solution

The fourth proportional to 382.81, 574.07 and 177.33 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.81 : 574.07 = 177.33 : x
  2. Step 2: Convert to fraction form
    382.81/574.07 = 177.33/x
  3. Step 3: Cross multiply
    382.81x = 574.07 × 177.33
  4. Step 4: Simplify right side
    382.81x = 101,799.83
  5. Step 5: Solve for x
    x = 101,799.83/382.81
  6. Step 6: Final answer
    x = 265.93

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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.