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Finding the Fourth Proportional to 451.13, 676.70 and 162.57

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Solution

The fourth proportional to 451.13, 676.70 and 162.57 is: 243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.13 : 676.70 = 162.57 : x
  2. Step 2: Convert to fraction form
    451.13/676.70 = 162.57/x
  3. Step 3: Cross multiply
    451.13x = 676.70 × 162.57
  4. Step 4: Simplify right side
    451.13x = 110,010.31
  5. Step 5: Solve for x
    x = 110,010.31/451.13
  6. Step 6: Final answer
    x = 243.86

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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.