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Finding the Fourth Proportional to 258.59, 387.52 and 143.09

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Solution

The fourth proportional to 258.59, 387.52 and 143.09 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.59 : 387.52 = 143.09 : x
  2. Step 2: Convert to fraction form
    258.59/387.52 = 143.09/x
  3. Step 3: Cross multiply
    258.59x = 387.52 × 143.09
  4. Step 4: Simplify right side
    258.59x = 55,450.20
  5. Step 5: Solve for x
    x = 55,450.20/258.59
  6. Step 6: Final answer
    x = 214.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.