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Finding the Fourth Proportional to 379.27, 568.95 and 135.76

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Solution

The fourth proportional to 379.27, 568.95 and 135.76 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.27 : 568.95 = 135.76 : x
  2. Step 2: Convert to fraction form
    379.27/568.95 = 135.76/x
  3. Step 3: Cross multiply
    379.27x = 568.95 × 135.76
  4. Step 4: Simplify right side
    379.27x = 77,240.65
  5. Step 5: Solve for x
    x = 77,240.65/379.27
  6. Step 6: Final answer
    x = 203.66

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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.