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Finding the Fourth Proportional to 547.04, 820.25 and 181.63

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Solution

The fourth proportional to 547.04, 820.25 and 181.63 is: 272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.04 : 820.25 = 181.63 : x
  2. Step 2: Convert to fraction form
    547.04/820.25 = 181.63/x
  3. Step 3: Cross multiply
    547.04x = 820.25 × 181.63
  4. Step 4: Simplify right side
    547.04x = 148,979.05
  5. Step 5: Solve for x
    x = 148,979.05/547.04
  6. Step 6: Final answer
    x = 272.34

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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.