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Finding the Fourth Proportional to 245.36, 366.49 and 179.78

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Solution

The fourth proportional to 245.36, 366.49 and 179.78 is: 268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 366.49 = 179.78 : x
  2. Step 2: Convert to fraction form
    245.36/366.49 = 179.78/x
  3. Step 3: Cross multiply
    245.36x = 366.49 × 179.78
  4. Step 4: Simplify right side
    245.36x = 65,887.57
  5. Step 5: Solve for x
    x = 65,887.57/245.36
  6. Step 6: Final answer
    x = 268.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.