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Finding the Fourth Proportional to 382.19, 572.75 and 189.95

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Solution

The fourth proportional to 382.19, 572.75 and 189.95 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 572.75 = 189.95 : x
  2. Step 2: Convert to fraction form
    382.19/572.75 = 189.95/x
  3. Step 3: Cross multiply
    382.19x = 572.75 × 189.95
  4. Step 4: Simplify right side
    382.19x = 108,792.91
  5. Step 5: Solve for x
    x = 108,792.91/382.19
  6. Step 6: Final answer
    x = 284.66

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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.