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Finding the Fourth Proportional to 613.77, 920.57 and 181.05

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Solution

The fourth proportional to 613.77, 920.57 and 181.05 is: 271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 920.57 = 181.05 : x
  2. Step 2: Convert to fraction form
    613.77/920.57 = 181.05/x
  3. Step 3: Cross multiply
    613.77x = 920.57 × 181.05
  4. Step 4: Simplify right side
    613.77x = 166,668.29
  5. Step 5: Solve for x
    x = 166,668.29/613.77
  6. Step 6: Final answer
    x = 271.55

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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.