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Finding the Fourth Proportional to 613.78, 920.63 and 180.90

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Solution

The fourth proportional to 613.78, 920.63 and 180.90 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.78 : 920.63 = 180.90 : x
  2. Step 2: Convert to fraction form
    613.78/920.63 = 180.90/x
  3. Step 3: Cross multiply
    613.78x = 920.63 × 180.90
  4. Step 4: Simplify right side
    613.78x = 166,541.97
  5. Step 5: Solve for x
    x = 166,541.97/613.78
  6. Step 6: Final answer
    x = 271.34

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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.