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Finding the Fourth Proportional to 613.50, 920.26 and 180.66

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Solution

The fourth proportional to 613.50, 920.26 and 180.66 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 920.26 = 180.66 : x
  2. Step 2: Convert to fraction form
    613.50/920.26 = 180.66/x
  3. Step 3: Cross multiply
    613.50x = 920.26 × 180.66
  4. Step 4: Simplify right side
    613.50x = 166,254.17
  5. Step 5: Solve for x
    x = 166,254.17/613.50
  6. Step 6: Final answer
    x = 270.99

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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.