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Finding the Fourth Proportional to 379.16, 568.36 and 186.56

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Solution

The fourth proportional to 379.16, 568.36 and 186.56 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.16 : 568.36 = 186.56 : x
  2. Step 2: Convert to fraction form
    379.16/568.36 = 186.56/x
  3. Step 3: Cross multiply
    379.16x = 568.36 × 186.56
  4. Step 4: Simplify right side
    379.16x = 106,033.24
  5. Step 5: Solve for x
    x = 106,033.24/379.16
  6. Step 6: Final answer
    x = 279.65

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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.