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Finding the Fourth Proportional to 546.91, 820.35 and 162.16

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Solution

The fourth proportional to 546.91, 820.35 and 162.16 is: 243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.91 : 820.35 = 162.16 : x
  2. Step 2: Convert to fraction form
    546.91/820.35 = 162.16/x
  3. Step 3: Cross multiply
    546.91x = 820.35 × 162.16
  4. Step 4: Simplify right side
    546.91x = 133,027.96
  5. Step 5: Solve for x
    x = 133,027.96/546.91
  6. Step 6: Final answer
    x = 243.24

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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.