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Finding the Fourth Proportional to 379.31, 568.96 and 135.77

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Solution

The fourth proportional to 379.31, 568.96 and 135.77 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 568.96 = 135.77 : x
  2. Step 2: Convert to fraction form
    379.31/568.96 = 135.77/x
  3. Step 3: Cross multiply
    379.31x = 568.96 × 135.77
  4. Step 4: Simplify right side
    379.31x = 77,244.51
  5. Step 5: Solve for x
    x = 77,244.51/379.31
  6. Step 6: Final answer
    x = 203.65

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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.