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Finding the Fourth Proportional to 451.04, 676.60 and 177.12

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Solution

The fourth proportional to 451.04, 676.60 and 177.12 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.04 : 676.60 = 177.12 : x
  2. Step 2: Convert to fraction form
    451.04/676.60 = 177.12/x
  3. Step 3: Cross multiply
    451.04x = 676.60 × 177.12
  4. Step 4: Simplify right side
    451.04x = 119,839.39
  5. Step 5: Solve for x
    x = 119,839.39/451.04
  6. Step 6: Final answer
    x = 265.70

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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.