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Finding the Fourth Proportional to 213.77, 319.82 and 179.82

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Solution

The fourth proportional to 213.77, 319.82 and 179.82 is: 269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.77 : 319.82 = 179.82 : x
  2. Step 2: Convert to fraction form
    213.77/319.82 = 179.82/x
  3. Step 3: Cross multiply
    213.77x = 319.82 × 179.82
  4. Step 4: Simplify right side
    213.77x = 57,509.13
  5. Step 5: Solve for x
    x = 57,509.13/213.77
  6. Step 6: Final answer
    x = 269.02

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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.