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Finding the Fourth Proportional to 451.10, 676.14 and 177.06

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Solution

The fourth proportional to 451.10, 676.14 and 177.06 is: 265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.10 : 676.14 = 177.06 : x
  2. Step 2: Convert to fraction form
    451.10/676.14 = 177.06/x
  3. Step 3: Cross multiply
    451.10x = 676.14 × 177.06
  4. Step 4: Simplify right side
    451.10x = 119,717.35
  5. Step 5: Solve for x
    x = 119,717.35/451.10
  6. Step 6: Final answer
    x = 265.39

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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.