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Finding the Fourth Proportional to 450.72, 676.16 and 194.16

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Solution

The fourth proportional to 450.72, 676.16 and 194.16 is: 291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.72 : 676.16 = 194.16 : x
  2. Step 2: Convert to fraction form
    450.72/676.16 = 194.16/x
  3. Step 3: Cross multiply
    450.72x = 676.16 × 194.16
  4. Step 4: Simplify right side
    450.72x = 131,283.23
  5. Step 5: Solve for x
    x = 131,283.23/450.72
  6. Step 6: Final answer
    x = 291.27

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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.