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Finding the Fourth Proportional to 258.37, 387.06 and 200.31

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Solution

The fourth proportional to 258.37, 387.06 and 200.31 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.37 : 387.06 = 200.31 : x
  2. Step 2: Convert to fraction form
    258.37/387.06 = 200.31/x
  3. Step 3: Cross multiply
    258.37x = 387.06 × 200.31
  4. Step 4: Simplify right side
    258.37x = 77,530.74
  5. Step 5: Solve for x
    x = 77,530.74/258.37
  6. Step 6: Final answer
    x = 300.08

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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.