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Finding the Fourth Proportional to 378.24, 566.69 and 134.61

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Solution

The fourth proportional to 378.24, 566.69 and 134.61 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 566.69 = 134.61 : x
  2. Step 2: Convert to fraction form
    378.24/566.69 = 134.61/x
  3. Step 3: Cross multiply
    378.24x = 566.69 × 134.61
  4. Step 4: Simplify right side
    378.24x = 76,281.47
  5. Step 5: Solve for x
    x = 76,281.47/378.24
  6. Step 6: Final answer
    x = 201.67

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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.