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Finding the Fourth Proportional to 451.19, 676.50 and 177.36

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Solution

The fourth proportional to 451.19, 676.50 and 177.36 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.19 : 676.50 = 177.36 : x
  2. Step 2: Convert to fraction form
    451.19/676.50 = 177.36/x
  3. Step 3: Cross multiply
    451.19x = 676.50 × 177.36
  4. Step 4: Simplify right side
    451.19x = 119,984.04
  5. Step 5: Solve for x
    x = 119,984.04/451.19
  6. Step 6: Final answer
    x = 265.93

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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.