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Finding the Fourth Proportional to 258.27, 387.64 and 230.81

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Solution

The fourth proportional to 258.27, 387.64 and 230.81 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.27 : 387.64 = 230.81 : x
  2. Step 2: Convert to fraction form
    258.27/387.64 = 230.81/x
  3. Step 3: Cross multiply
    258.27x = 387.64 × 230.81
  4. Step 4: Simplify right side
    258.27x = 89,468.67
  5. Step 5: Solve for x
    x = 89,468.67/258.27
  6. Step 6: Final answer
    x = 346.42

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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.