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Finding the Fourth Proportional to 258.15, 356.31 and 147.62

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Solution

The fourth proportional to 258.15, 356.31 and 147.62 is: 203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.15 : 356.31 = 147.62 : x
  2. Step 2: Convert to fraction form
    258.15/356.31 = 147.62/x
  3. Step 3: Cross multiply
    258.15x = 356.31 × 147.62
  4. Step 4: Simplify right side
    258.15x = 52,599.37
  5. Step 5: Solve for x
    x = 52,599.37/258.15
  6. Step 6: Final answer
    x = 203.75

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