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Finding the Fourth Proportional to 451.51, 676.96 and 162.91

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Solution

The fourth proportional to 451.51, 676.96 and 162.91 is: 244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.51 : 676.96 = 162.91 : x
  2. Step 2: Convert to fraction form
    451.51/676.96 = 162.91/x
  3. Step 3: Cross multiply
    451.51x = 676.96 × 162.91
  4. Step 4: Simplify right side
    451.51x = 110,283.55
  5. Step 5: Solve for x
    x = 110,283.55/451.51
  6. Step 6: Final answer
    x = 244.25

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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.