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Finding the Fourth Proportional to 475.11, 712.80 and 182.74

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Solution

The fourth proportional to 475.11, 712.80 and 182.74 is: 274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.11 : 712.80 = 182.74 : x
  2. Step 2: Convert to fraction form
    475.11/712.80 = 182.74/x
  3. Step 3: Cross multiply
    475.11x = 712.80 × 182.74
  4. Step 4: Simplify right side
    475.11x = 130,257.07
  5. Step 5: Solve for x
    x = 130,257.07/475.11
  6. Step 6: Final answer
    x = 274.16

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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.