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Finding the Fourth Proportional to 378.88, 568.37 and 135.43

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Solution

The fourth proportional to 378.88, 568.37 and 135.43 is: 203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.88 : 568.37 = 135.43 : x
  2. Step 2: Convert to fraction form
    378.88/568.37 = 135.43/x
  3. Step 3: Cross multiply
    378.88x = 568.37 × 135.43
  4. Step 4: Simplify right side
    378.88x = 76,973.67
  5. Step 5: Solve for x
    x = 76,973.67/378.88
  6. Step 6: Final answer
    x = 203.16

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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.