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Finding the Fourth Proportional to 382.90, 574.07 and 177.18

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Solution

The fourth proportional to 382.90, 574.07 and 177.18 is: 265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 574.07 = 177.18 : x
  2. Step 2: Convert to fraction form
    382.90/574.07 = 177.18/x
  3. Step 3: Cross multiply
    382.90x = 574.07 × 177.18
  4. Step 4: Simplify right side
    382.90x = 101,713.72
  5. Step 5: Solve for x
    x = 101,713.72/382.90
  6. Step 6: Final answer
    x = 265.64

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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.