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Finding the Fourth Proportional to 258.57, 357.01 and 160.36

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Solution

The fourth proportional to 258.57, 357.01 and 160.36 is: 221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.57 : 357.01 = 160.36 : x
  2. Step 2: Convert to fraction form
    258.57/357.01 = 160.36/x
  3. Step 3: Cross multiply
    258.57x = 357.01 × 160.36
  4. Step 4: Simplify right side
    258.57x = 57,248.83
  5. Step 5: Solve for x
    x = 57,248.83/258.57
  6. Step 6: Final answer
    x = 221.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.