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Finding the Fourth Proportional to 258.14, 356.22 and 147.60

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Solution

The fourth proportional to 258.14, 356.22 and 147.60 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.14 : 356.22 = 147.60 : x
  2. Step 2: Convert to fraction form
    258.14/356.22 = 147.60/x
  3. Step 3: Cross multiply
    258.14x = 356.22 × 147.60
  4. Step 4: Simplify right side
    258.14x = 52,578.07
  5. Step 5: Solve for x
    x = 52,578.07/258.14
  6. Step 6: Final answer
    x = 203.68

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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.