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Finding the Fourth Proportional to 379.02, 568.84 and 162.76

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Solution

The fourth proportional to 379.02, 568.84 and 162.76 is: 244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.02 : 568.84 = 162.76 : x
  2. Step 2: Convert to fraction form
    379.02/568.84 = 162.76/x
  3. Step 3: Cross multiply
    379.02x = 568.84 × 162.76
  4. Step 4: Simplify right side
    379.02x = 92,584.40
  5. Step 5: Solve for x
    x = 92,584.40/379.02
  6. Step 6: Final answer
    x = 244.27

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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.