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Finding the Fourth Proportional to 258.68, 357.29 and 206.42

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Solution

The fourth proportional to 258.68, 357.29 and 206.42 is: 285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 357.29 = 206.42 : x
  2. Step 2: Convert to fraction form
    258.68/357.29 = 206.42/x
  3. Step 3: Cross multiply
    258.68x = 357.29 × 206.42
  4. Step 4: Simplify right side
    258.68x = 73,748.98
  5. Step 5: Solve for x
    x = 73,748.98/258.68
  6. Step 6: Final answer
    x = 285.10

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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.