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Finding the Fourth Proportional to 258.56, 356.08 and 193.24

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Solution

The fourth proportional to 258.56, 356.08 and 193.24 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.56 : 356.08 = 193.24 : x
  2. Step 2: Convert to fraction form
    258.56/356.08 = 193.24/x
  3. Step 3: Cross multiply
    258.56x = 356.08 × 193.24
  4. Step 4: Simplify right side
    258.56x = 68,808.90
  5. Step 5: Solve for x
    x = 68,808.90/258.56
  6. Step 6: Final answer
    x = 266.12

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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.