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Finding the Fourth Proportional to 546.81, 820.25 and 181.58

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Solution

The fourth proportional to 546.81, 820.25 and 181.58 is: 272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.81 : 820.25 = 181.58 : x
  2. Step 2: Convert to fraction form
    546.81/820.25 = 181.58/x
  3. Step 3: Cross multiply
    546.81x = 820.25 × 181.58
  4. Step 4: Simplify right side
    546.81x = 148,935.99
  5. Step 5: Solve for x
    x = 148,935.99/546.81
  6. Step 6: Final answer
    x = 272.37

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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.