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Finding the Fourth Proportional to 471.21, 706.38 and 182.85

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Solution

The fourth proportional to 471.21, 706.38 and 182.85 is: 274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.21 : 706.38 = 182.85 : x
  2. Step 2: Convert to fraction form
    471.21/706.38 = 182.85/x
  3. Step 3: Cross multiply
    471.21x = 706.38 × 182.85
  4. Step 4: Simplify right side
    471.21x = 129,161.58
  5. Step 5: Solve for x
    x = 129,161.58/471.21
  6. Step 6: Final answer
    x = 274.11

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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.