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Finding the Fourth Proportional to 378.06, 566.97 and 134.57

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Solution

The fourth proportional to 378.06, 566.97 and 134.57 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.06 : 566.97 = 134.57 : x
  2. Step 2: Convert to fraction form
    378.06/566.97 = 134.57/x
  3. Step 3: Cross multiply
    378.06x = 566.97 × 134.57
  4. Step 4: Simplify right side
    378.06x = 76,298.91
  5. Step 5: Solve for x
    x = 76,298.91/378.06
  6. Step 6: Final answer
    x = 201.82

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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.