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Finding the Fourth Proportional to 613.55, 920.32 and 180.70

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Solution

The fourth proportional to 613.55, 920.32 and 180.70 is: 271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.55 : 920.32 = 180.70 : x
  2. Step 2: Convert to fraction form
    613.55/920.32 = 180.70/x
  3. Step 3: Cross multiply
    613.55x = 920.32 × 180.70
  4. Step 4: Simplify right side
    613.55x = 166,299.07
  5. Step 5: Solve for x
    x = 166,299.07/613.55
  6. Step 6: Final answer
    x = 271.04

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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.