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Finding the Fourth Proportional to 381.68, 572.16 and 189.08

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Solution

The fourth proportional to 381.68, 572.16 and 189.08 is: 283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.68 : 572.16 = 189.08 : x
  2. Step 2: Convert to fraction form
    381.68/572.16 = 189.08/x
  3. Step 3: Cross multiply
    381.68x = 572.16 × 189.08
  4. Step 4: Simplify right side
    381.68x = 108,184.01
  5. Step 5: Solve for x
    x = 108,184.01/381.68
  6. Step 6: Final answer
    x = 283.44

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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.