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Finding the Fourth Proportional to 377.45, 566.26 and 146.34

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Solution

The fourth proportional to 377.45, 566.26 and 146.34 is: 219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.45 : 566.26 = 146.34 : x
  2. Step 2: Convert to fraction form
    377.45/566.26 = 146.34/x
  3. Step 3: Cross multiply
    377.45x = 566.26 × 146.34
  4. Step 4: Simplify right side
    377.45x = 82,866.49
  5. Step 5: Solve for x
    x = 82,866.49/377.45
  6. Step 6: Final answer
    x = 219.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.