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Finding the Fourth Proportional to 245.79, 339.05 and 162.78

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Solution

The fourth proportional to 245.79, 339.05 and 162.78 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.79 : 339.05 = 162.78 : x
  2. Step 2: Convert to fraction form
    245.79/339.05 = 162.78/x
  3. Step 3: Cross multiply
    245.79x = 339.05 × 162.78
  4. Step 4: Simplify right side
    245.79x = 55,189.75
  5. Step 5: Solve for x
    x = 55,189.75/245.79
  6. Step 6: Final answer
    x = 224.54

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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.