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Finding the Fourth Proportional to 451.36, 676.78 and 177.13

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Solution

The fourth proportional to 451.36, 676.78 and 177.13 is: 265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.36 : 676.78 = 177.13 : x
  2. Step 2: Convert to fraction form
    451.36/676.78 = 177.13/x
  3. Step 3: Cross multiply
    451.36x = 676.78 × 177.13
  4. Step 4: Simplify right side
    451.36x = 119,875.91
  5. Step 5: Solve for x
    x = 119,875.91/451.36
  6. Step 6: Final answer
    x = 265.59

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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.