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Finding the Fourth Proportional to 451.16, 676.85 and 177.18

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Solution

The fourth proportional to 451.16, 676.85 and 177.18 is: 265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.16 : 676.85 = 177.18 : x
  2. Step 2: Convert to fraction form
    451.16/676.85 = 177.18/x
  3. Step 3: Cross multiply
    451.16x = 676.85 × 177.18
  4. Step 4: Simplify right side
    451.16x = 119,923.40
  5. Step 5: Solve for x
    x = 119,923.40/451.16
  6. Step 6: Final answer
    x = 265.81

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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.