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Finding the Fourth Proportional to 451.32, 676.76 and 177.18

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Solution

The fourth proportional to 451.32, 676.76 and 177.18 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.32 : 676.76 = 177.18 : x
  2. Step 2: Convert to fraction form
    451.32/676.76 = 177.18/x
  3. Step 3: Cross multiply
    451.32x = 676.76 × 177.18
  4. Step 4: Simplify right side
    451.32x = 119,907.45
  5. Step 5: Solve for x
    x = 119,907.45/451.32
  6. Step 6: Final answer
    x = 265.68

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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.