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Finding the Fourth Proportional to 258.45, 356.60 and 153.54

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Solution

The fourth proportional to 258.45, 356.60 and 153.54 is: 211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.45 : 356.60 = 153.54 : x
  2. Step 2: Convert to fraction form
    258.45/356.60 = 153.54/x
  3. Step 3: Cross multiply
    258.45x = 356.60 × 153.54
  4. Step 4: Simplify right side
    258.45x = 54,752.36
  5. Step 5: Solve for x
    x = 54,752.36/258.45
  6. Step 6: Final answer
    x = 211.85

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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.