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Finding the Fourth Proportional to 279.87, 386.14 and 174.91

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Solution

The fourth proportional to 279.87, 386.14 and 174.91 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.87 : 386.14 = 174.91 : x
  2. Step 2: Convert to fraction form
    279.87/386.14 = 174.91/x
  3. Step 3: Cross multiply
    279.87x = 386.14 × 174.91
  4. Step 4: Simplify right side
    279.87x = 67,536.94
  5. Step 5: Solve for x
    x = 67,536.94/279.87
  6. Step 6: Final answer
    x = 241.32

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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.