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Finding the Fourth Proportional to 381.60, 572.40 and 189.24

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Solution

The fourth proportional to 381.60, 572.40 and 189.24 is: 283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.60 : 572.40 = 189.24 : x
  2. Step 2: Convert to fraction form
    381.60/572.40 = 189.24/x
  3. Step 3: Cross multiply
    381.60x = 572.40 × 189.24
  4. Step 4: Simplify right side
    381.60x = 108,320.98
  5. Step 5: Solve for x
    x = 108,320.98/381.60
  6. Step 6: Final answer
    x = 283.86

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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.