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Finding the Fourth Proportional to 547.14, 820.68 and 162.38

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Solution

The fourth proportional to 547.14, 820.68 and 162.38 is: 243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.14 : 820.68 = 162.38 : x
  2. Step 2: Convert to fraction form
    547.14/820.68 = 162.38/x
  3. Step 3: Cross multiply
    547.14x = 820.68 × 162.38
  4. Step 4: Simplify right side
    547.14x = 133,262.02
  5. Step 5: Solve for x
    x = 133,262.02/547.14
  6. Step 6: Final answer
    x = 243.56

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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.