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Finding the Fourth Proportional to 258.14, 386.84 and 160.31

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Solution

The fourth proportional to 258.14, 386.84 and 160.31 is: 240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 386.84 = 160.31 : x
  2. Step 2: Convert to fraction form
    258.14/386.84 = 160.31/x
  3. Step 3: Cross multiply
    258.14x = 386.84 × 160.31
  4. Step 4: Simplify right side
    258.14x = 62,011.58
  5. Step 5: Solve for x
    x = 62,011.58/258.14
  6. Step 6: Final answer
    x = 240.23

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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.