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Finding the Fourth Proportional to 379.16, 568.62 and 135.62

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Solution

The fourth proportional to 379.16, 568.62 and 135.62 is: 203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.16 : 568.62 = 135.62 : x
  2. Step 2: Convert to fraction form
    379.16/568.62 = 135.62/x
  3. Step 3: Cross multiply
    379.16x = 568.62 × 135.62
  4. Step 4: Simplify right side
    379.16x = 77,116.24
  5. Step 5: Solve for x
    x = 77,116.24/379.16
  6. Step 6: Final answer
    x = 203.39

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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.