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Finding the Fourth Proportional to 450.96, 676.82 and 177.24

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Solution

The fourth proportional to 450.96, 676.82 and 177.24 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.96 : 676.82 = 177.24 : x
  2. Step 2: Convert to fraction form
    450.96/676.82 = 177.24/x
  3. Step 3: Cross multiply
    450.96x = 676.82 × 177.24
  4. Step 4: Simplify right side
    450.96x = 119,963.41
  5. Step 5: Solve for x
    x = 119,963.41/450.96
  6. Step 6: Final answer
    x = 266.02

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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.