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Finding the Fourth Proportional to 279.19, 385.05 and 186.04

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Solution

The fourth proportional to 279.19, 385.05 and 186.04 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.19 : 385.05 = 186.04 : x
  2. Step 2: Convert to fraction form
    279.19/385.05 = 186.04/x
  3. Step 3: Cross multiply
    279.19x = 385.05 × 186.04
  4. Step 4: Simplify right side
    279.19x = 71,634.70
  5. Step 5: Solve for x
    x = 71,634.70/279.19
  6. Step 6: Final answer
    x = 256.58

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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.