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Finding the Fourth Proportional to 279.85, 386.17 and 155.50

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Solution

The fourth proportional to 279.85, 386.17 and 155.50 is: 214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.85 : 386.17 = 155.50 : x
  2. Step 2: Convert to fraction form
    279.85/386.17 = 155.50/x
  3. Step 3: Cross multiply
    279.85x = 386.17 × 155.50
  4. Step 4: Simplify right side
    279.85x = 60,049.44
  5. Step 5: Solve for x
    x = 60,049.44/279.85
  6. Step 6: Final answer
    x = 214.58

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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.