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Finding the Fourth Proportional to 258.29, 356.44 and 160.06

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Solution

The fourth proportional to 258.29, 356.44 and 160.06 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 356.44 = 160.06 : x
  2. Step 2: Convert to fraction form
    258.29/356.44 = 160.06/x
  3. Step 3: Cross multiply
    258.29x = 356.44 × 160.06
  4. Step 4: Simplify right side
    258.29x = 57,051.79
  5. Step 5: Solve for x
    x = 57,051.79/258.29
  6. Step 6: Final answer
    x = 220.88

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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.