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Finding the Fourth Proportional to 451.19, 676.55 and 207.50

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Solution

The fourth proportional to 451.19, 676.55 and 207.50 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.19 : 676.55 = 207.50 : x
  2. Step 2: Convert to fraction form
    451.19/676.55 = 207.50/x
  3. Step 3: Cross multiply
    451.19x = 676.55 × 207.50
  4. Step 4: Simplify right side
    451.19x = 140,383.09
  5. Step 5: Solve for x
    x = 140,383.09/451.19
  6. Step 6: Final answer
    x = 311.14

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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.