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Finding the Fourth Proportional to 378.69, 568.04 and 135.22

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Solution

The fourth proportional to 378.69, 568.04 and 135.22 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.69 : 568.04 = 135.22 : x
  2. Step 2: Convert to fraction form
    378.69/568.04 = 135.22/x
  3. Step 3: Cross multiply
    378.69x = 568.04 × 135.22
  4. Step 4: Simplify right side
    378.69x = 76,810.37
  5. Step 5: Solve for x
    x = 76,810.37/378.69
  6. Step 6: Final answer
    x = 202.83

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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.