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Finding the Fourth Proportional to 450.82, 676.12 and 176.77

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Solution

The fourth proportional to 450.82, 676.12 and 176.77 is: 265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.82 : 676.12 = 176.77 : x
  2. Step 2: Convert to fraction form
    450.82/676.12 = 176.77/x
  3. Step 3: Cross multiply
    450.82x = 676.12 × 176.77
  4. Step 4: Simplify right side
    450.82x = 119,515.16
  5. Step 5: Solve for x
    x = 119,515.16/450.82
  6. Step 6: Final answer
    x = 265.10

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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.