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Finding the Fourth Proportional to 475.21, 712.82 and 182.85

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Solution

The fourth proportional to 475.21, 712.82 and 182.85 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.21 : 712.82 = 182.85 : x
  2. Step 2: Convert to fraction form
    475.21/712.82 = 182.85/x
  3. Step 3: Cross multiply
    475.21x = 712.82 × 182.85
  4. Step 4: Simplify right side
    475.21x = 130,339.14
  5. Step 5: Solve for x
    x = 130,339.14/475.21
  6. Step 6: Final answer
    x = 274.28

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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.