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Finding the Fourth Proportional to 451.09, 676.70 and 162.50

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Solution

The fourth proportional to 451.09, 676.70 and 162.50 is: 243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.09 : 676.70 = 162.50 : x
  2. Step 2: Convert to fraction form
    451.09/676.70 = 162.50/x
  3. Step 3: Cross multiply
    451.09x = 676.70 × 162.50
  4. Step 4: Simplify right side
    451.09x = 109,963.75
  5. Step 5: Solve for x
    x = 109,963.75/451.09
  6. Step 6: Final answer
    x = 243.77

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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.