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Finding the Fourth Proportional to 258.06, 356.16 and 175.26

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Solution

The fourth proportional to 258.06, 356.16 and 175.26 is: 241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.06 : 356.16 = 175.26 : x
  2. Step 2: Convert to fraction form
    258.06/356.16 = 175.26/x
  3. Step 3: Cross multiply
    258.06x = 356.16 × 175.26
  4. Step 4: Simplify right side
    258.06x = 62,420.60
  5. Step 5: Solve for x
    x = 62,420.60/258.06
  6. Step 6: Final answer
    x = 241.88

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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.