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Finding the Fourth Proportional to 767.98, 1,151.86 and 220.20

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Solution

The fourth proportional to 767.98, 1,151.86 and 220.20 is: 330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.98 : 1,151.86 = 220.20 : x
  2. Step 2: Convert to fraction form
    767.98/1,151.86 = 220.20/x
  3. Step 3: Cross multiply
    767.98x = 1,151.86 × 220.20
  4. Step 4: Simplify right side
    767.98x = 253,639.57
  5. Step 5: Solve for x
    x = 253,639.57/767.98
  6. Step 6: Final answer
    x = 330.27

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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.