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Finding the Fourth Proportional to 279.75, 385.86 and 186.45

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Solution

The fourth proportional to 279.75, 385.86 and 186.45 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.75 : 385.86 = 186.45 : x
  2. Step 2: Convert to fraction form
    279.75/385.86 = 186.45/x
  3. Step 3: Cross multiply
    279.75x = 385.86 × 186.45
  4. Step 4: Simplify right side
    279.75x = 71,945.02
  5. Step 5: Solve for x
    x = 71,945.02/279.75
  6. Step 6: Final answer
    x = 257.17

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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.