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Finding the Fourth Proportional to 381.84, 572.85 and 189.42

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Solution

The fourth proportional to 381.84, 572.85 and 189.42 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 572.85 = 189.42 : x
  2. Step 2: Convert to fraction form
    381.84/572.85 = 189.42/x
  3. Step 3: Cross multiply
    381.84x = 572.85 × 189.42
  4. Step 4: Simplify right side
    381.84x = 108,509.25
  5. Step 5: Solve for x
    x = 108,509.25/381.84
  6. Step 6: Final answer
    x = 284.17

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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.