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Finding the Fourth Proportional to 546.78, 820.29 and 162.06

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Solution

The fourth proportional to 546.78, 820.29 and 162.06 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 820.29 = 162.06 : x
  2. Step 2: Convert to fraction form
    546.78/820.29 = 162.06/x
  3. Step 3: Cross multiply
    546.78x = 820.29 × 162.06
  4. Step 4: Simplify right side
    546.78x = 132,936.20
  5. Step 5: Solve for x
    x = 132,936.20/546.78
  6. Step 6: Final answer
    x = 243.13

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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.