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Finding the Fourth Proportional to 258.83, 387.93 and 137.03

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Solution

The fourth proportional to 258.83, 387.93 and 137.03 is: 205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 387.93 = 137.03 : x
  2. Step 2: Convert to fraction form
    258.83/387.93 = 137.03/x
  3. Step 3: Cross multiply
    258.83x = 387.93 × 137.03
  4. Step 4: Simplify right side
    258.83x = 53,156.11
  5. Step 5: Solve for x
    x = 53,156.11/258.83
  6. Step 6: Final answer
    x = 205.37

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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.