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Finding the Fourth Proportional to 258.43, 356.62 and 153.53

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Solution

The fourth proportional to 258.43, 356.62 and 153.53 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.43 : 356.62 = 153.53 : x
  2. Step 2: Convert to fraction form
    258.43/356.62 = 153.53/x
  3. Step 3: Cross multiply
    258.43x = 356.62 × 153.53
  4. Step 4: Simplify right side
    258.43x = 54,751.87
  5. Step 5: Solve for x
    x = 54,751.87/258.43
  6. Step 6: Final answer
    x = 211.86

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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.