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Finding the Fourth Proportional to 202.24, 277.58 and 179.92

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Solution

The fourth proportional to 202.24, 277.58 and 179.92 is: 246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.24 : 277.58 = 179.92 : x
  2. Step 2: Convert to fraction form
    202.24/277.58 = 179.92/x
  3. Step 3: Cross multiply
    202.24x = 277.58 × 179.92
  4. Step 4: Simplify right side
    202.24x = 49,942.19
  5. Step 5: Solve for x
    x = 49,942.19/202.24
  6. Step 6: Final answer
    x = 246.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.