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Finding the Fourth Proportional to 245.64, 338.82 and 162.78

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Solution

The fourth proportional to 245.64, 338.82 and 162.78 is: 224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.64 : 338.82 = 162.78 : x
  2. Step 2: Convert to fraction form
    245.64/338.82 = 162.78/x
  3. Step 3: Cross multiply
    245.64x = 338.82 × 162.78
  4. Step 4: Simplify right side
    245.64x = 55,153.12
  5. Step 5: Solve for x
    x = 55,153.12/245.64
  6. Step 6: Final answer
    x = 224.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.