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Finding the Fourth Proportional to 451.12, 676.26 and 177.40

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Solution

The fourth proportional to 451.12, 676.26 and 177.40 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.12 : 676.26 = 177.40 : x
  2. Step 2: Convert to fraction form
    451.12/676.26 = 177.40/x
  3. Step 3: Cross multiply
    451.12x = 676.26 × 177.40
  4. Step 4: Simplify right side
    451.12x = 119,968.52
  5. Step 5: Solve for x
    x = 119,968.52/451.12
  6. Step 6: Final answer
    x = 265.93

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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.