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Finding the Fourth Proportional to 378.12, 566.85 and 134.82

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Solution

The fourth proportional to 378.12, 566.85 and 134.82 is: 202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 566.85 = 134.82 : x
  2. Step 2: Convert to fraction form
    378.12/566.85 = 134.82/x
  3. Step 3: Cross multiply
    378.12x = 566.85 × 134.82
  4. Step 4: Simplify right side
    378.12x = 76,422.72
  5. Step 5: Solve for x
    x = 76,422.72/378.12
  6. Step 6: Final answer
    x = 202.11

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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.