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Finding the Fourth Proportional to 471.14, 706.31 and 182.78

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Solution

The fourth proportional to 471.14, 706.31 and 182.78 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 706.31 = 182.78 : x
  2. Step 2: Convert to fraction form
    471.14/706.31 = 182.78/x
  3. Step 3: Cross multiply
    471.14x = 706.31 × 182.78
  4. Step 4: Simplify right side
    471.14x = 129,098.43
  5. Step 5: Solve for x
    x = 129,098.43/471.14
  6. Step 6: Final answer
    x = 274.01

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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.