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Finding the Fourth Proportional to 378.38, 567.63 and 131.63

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Solution

The fourth proportional to 378.38, 567.63 and 131.63 is: 197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 567.63 = 131.63 : x
  2. Step 2: Convert to fraction form
    378.38/567.63 = 131.63/x
  3. Step 3: Cross multiply
    378.38x = 567.63 × 131.63
  4. Step 4: Simplify right side
    378.38x = 74,714.30
  5. Step 5: Solve for x
    x = 74,714.30/378.38
  6. Step 6: Final answer
    x = 197.46

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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.