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Finding the Fourth Proportional to 378.07, 566.92 and 134.56

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Solution

The fourth proportional to 378.07, 566.92 and 134.56 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.07 : 566.92 = 134.56 : x
  2. Step 2: Convert to fraction form
    378.07/566.92 = 134.56/x
  3. Step 3: Cross multiply
    378.07x = 566.92 × 134.56
  4. Step 4: Simplify right side
    378.07x = 76,284.76
  5. Step 5: Solve for x
    x = 76,284.76/378.07
  6. Step 6: Final answer
    x = 201.77

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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.