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Finding the Fourth Proportional to 379.04, 568.56 and 186.80

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Solution

The fourth proportional to 379.04, 568.56 and 186.80 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.04 : 568.56 = 186.80 : x
  2. Step 2: Convert to fraction form
    379.04/568.56 = 186.80/x
  3. Step 3: Cross multiply
    379.04x = 568.56 × 186.80
  4. Step 4: Simplify right side
    379.04x = 106,207.01
  5. Step 5: Solve for x
    x = 106,207.01/379.04
  6. Step 6: Final answer
    x = 280.20

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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.