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Finding the Fourth Proportional to 240.83, 361.46 and 179.77

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Solution

The fourth proportional to 240.83, 361.46 and 179.77 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.83 : 361.46 = 179.77 : x
  2. Step 2: Convert to fraction form
    240.83/361.46 = 179.77/x
  3. Step 3: Cross multiply
    240.83x = 361.46 × 179.77
  4. Step 4: Simplify right side
    240.83x = 64,979.66
  5. Step 5: Solve for x
    x = 64,979.66/240.83
  6. Step 6: Final answer
    x = 269.82

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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.