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Finding the Fourth Proportional to 382.68, 573.66 and 126

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Solution

The fourth proportional to 382.68, 573.66 and 126 is: 188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.68 : 573.66 = 126 : x
  2. Step 2: Convert to fraction form
    382.68/573.66 = 126/x
  3. Step 3: Cross multiply
    382.68x = 573.66 × 126
  4. Step 4: Simplify right side
    382.68x = 72,281.16
  5. Step 5: Solve for x
    x = 72,281.16/382.68
  6. Step 6: Final answer
    x = 188.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.