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Finding the Fourth Proportional to 382, 573.21 and 189.63

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Solution

The fourth proportional to 382, 573.21 and 189.63 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 573.21 = 189.63 : x
  2. Step 2: Convert to fraction form
    382/573.21 = 189.63/x
  3. Step 3: Cross multiply
    382x = 573.21 × 189.63
  4. Step 4: Simplify right side
    382x = 108,697.81
  5. Step 5: Solve for x
    x = 108,697.81/382
  6. Step 6: Final answer
    x = 284.55

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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.