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Finding the Fourth Proportional to 258.50, 356.11 and 217.06

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Solution

The fourth proportional to 258.50, 356.11 and 217.06 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 356.11 = 217.06 : x
  2. Step 2: Convert to fraction form
    258.50/356.11 = 217.06/x
  3. Step 3: Cross multiply
    258.50x = 356.11 × 217.06
  4. Step 4: Simplify right side
    258.50x = 77,295.80
  5. Step 5: Solve for x
    x = 77,295.80/258.50
  6. Step 6: Final answer
    x = 299.01

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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.