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Finding the Fourth Proportional to 546.81, 820.25 and 162.09

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Solution

The fourth proportional to 546.81, 820.25 and 162.09 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.81 : 820.25 = 162.09 : x
  2. Step 2: Convert to fraction form
    546.81/820.25 = 162.09/x
  3. Step 3: Cross multiply
    546.81x = 820.25 × 162.09
  4. Step 4: Simplify right side
    546.81x = 132,953.51
  5. Step 5: Solve for x
    x = 132,953.51/546.81
  6. Step 6: Final answer
    x = 243.14

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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.