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Finding the Fourth Proportional to 221.07, 331.61 and 76.77

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Solution

The fourth proportional to 221.07, 331.61 and 76.77 is: 115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.07 : 331.61 = 76.77 : x
  2. Step 2: Convert to fraction form
    221.07/331.61 = 76.77/x
  3. Step 3: Cross multiply
    221.07x = 331.61 × 76.77
  4. Step 4: Simplify right side
    221.07x = 25,457.70
  5. Step 5: Solve for x
    x = 25,457.70/221.07
  6. Step 6: Final answer
    x = 115.16

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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.