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Finding the Fourth Proportional to 279.51, 385.59 and 205.80

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Solution

The fourth proportional to 279.51, 385.59 and 205.80 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.51 : 385.59 = 205.80 : x
  2. Step 2: Convert to fraction form
    279.51/385.59 = 205.80/x
  3. Step 3: Cross multiply
    279.51x = 385.59 × 205.80
  4. Step 4: Simplify right side
    279.51x = 79,354.42
  5. Step 5: Solve for x
    x = 79,354.42/279.51
  6. Step 6: Final answer
    x = 283.91

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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.