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Finding the Fourth Proportional to 279.50, 385.78 and 161.52

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Solution

The fourth proportional to 279.50, 385.78 and 161.52 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.50 : 385.78 = 161.52 : x
  2. Step 2: Convert to fraction form
    279.50/385.78 = 161.52/x
  3. Step 3: Cross multiply
    279.50x = 385.78 × 161.52
  4. Step 4: Simplify right side
    279.50x = 62,311.19
  5. Step 5: Solve for x
    x = 62,311.19/279.50
  6. Step 6: Final answer
    x = 222.94

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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.