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Finding the Fourth Proportional to 279.63, 385.87 and 169.10

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Solution

The fourth proportional to 279.63, 385.87 and 169.10 is: 233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.63 : 385.87 = 169.10 : x
  2. Step 2: Convert to fraction form
    279.63/385.87 = 169.10/x
  3. Step 3: Cross multiply
    279.63x = 385.87 × 169.10
  4. Step 4: Simplify right side
    279.63x = 65,250.62
  5. Step 5: Solve for x
    x = 65,250.62/279.63
  6. Step 6: Final answer
    x = 233.35

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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.