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Finding the Fourth Proportional to 382.22, 573.12 and 135.30

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Solution

The fourth proportional to 382.22, 573.12 and 135.30 is: 202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 573.12 = 135.30 : x
  2. Step 2: Convert to fraction form
    382.22/573.12 = 135.30/x
  3. Step 3: Cross multiply
    382.22x = 573.12 × 135.30
  4. Step 4: Simplify right side
    382.22x = 77,543.14
  5. Step 5: Solve for x
    x = 77,543.14/382.22
  6. Step 6: Final answer
    x = 202.88

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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.