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Finding the Fourth Proportional to 379.30, 568.76 and 194.18

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Solution

The fourth proportional to 379.30, 568.76 and 194.18 is: 291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.30 : 568.76 = 194.18 : x
  2. Step 2: Convert to fraction form
    379.30/568.76 = 194.18/x
  3. Step 3: Cross multiply
    379.30x = 568.76 × 194.18
  4. Step 4: Simplify right side
    379.30x = 110,438.55
  5. Step 5: Solve for x
    x = 110,438.55/379.30
  6. Step 6: Final answer
    x = 291.16

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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.