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Finding the Fourth Proportional to 547.42, 820.55 and 182.11

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Solution

The fourth proportional to 547.42, 820.55 and 182.11 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.42 : 820.55 = 182.11 : x
  2. Step 2: Convert to fraction form
    547.42/820.55 = 182.11/x
  3. Step 3: Cross multiply
    547.42x = 820.55 × 182.11
  4. Step 4: Simplify right side
    547.42x = 149,426.26
  5. Step 5: Solve for x
    x = 149,426.26/547.42
  6. Step 6: Final answer
    x = 272.97

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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.